 10.2.1: Fill in the blanks. A ________ is the intersection of a plane and a...
 10.2.2: Fill in the blanks. A collection of points satisfying a geometric p...
 10.2.3: Fill in the blanks. A ________ is defined as the set of all points ...
 10.2.4: Fill in the blanks. The line that passes through the focus and vert...
 10.2.5: Fill in the blanks. The ________ of a parabola is the midpoint betw...
 10.2.6: Fill in the blanks. A line segment that passes through the focus of...
 10.2.7: Fill in the blanks. A line is ________ to a parabola at a point on ...
 10.2.8: In Exercises 510, match the equation with its graph. [The graphs ar...
 10.2.9: In Exercises 510, match the equation with its graph. [The graphs ar...
 10.2.10: In Exercises 510, match the equation with its graph. [The graphs ar...
 10.2.11: In Exercises 1124, find the vertex, focus, and directrix of the par...
 10.2.12: In Exercises 1124, find the vertex, focus, and directrix of the par...
 10.2.13: In Exercises 1124, find the vertex, focus, and directrix of the par...
 10.2.14: In Exercises 1124, find the vertex, focus, and directrix of the par...
 10.2.15: In Exercises 1124, find the vertex, focus, and directrix of the par...
 10.2.16: In Exercises 1124, find the vertex, focus, and directrix of the par...
 10.2.17: In Exercises 1124, find the vertex, focus, and directrix of the par...
 10.2.18: In Exercises 1124, find the vertex, focus, and directrix of the par...
 10.2.19: In Exercises 1124, find the vertex, focus, and directrix of the par...
 10.2.20: In Exercises 1124, find the vertex, focus, and directrix of the par...
 10.2.21: In Exercises 1124, find the vertex, focus, and directrix of the par...
 10.2.22: In Exercises 1124, find the vertex, focus, and directrix of the par...
 10.2.23: In Exercises 1124, find the vertex, focus, and directrix of the par...
 10.2.24: In Exercises 1124, find the vertex, focus, and directrix of the par...
 10.2.25: In Exercises 2528, find the vertex, focus, and directrix of the par...
 10.2.26: In Exercises 2528, find the vertex, focus, and directrix of the par...
 10.2.27: In Exercises 2528, find the vertex, focus, and directrix of the par...
 10.2.28: In Exercises 2528, find the vertex, focus, and directrix of the par...
 10.2.29: In Exercises 2940, find the standard form of the equation of the pa...
 10.2.30: In Exercises 2940, find the standard form of the equation of the pa...
 10.2.31: In Exercises 2940, find the standard form of the equation of the pa...
 10.2.32: In Exercises 2940, find the standard form of the equation of the pa...
 10.2.33: In Exercises 2940, find the standard form of the equation of the pa...
 10.2.34: In Exercises 2940, find the standard form of the equation of the pa...
 10.2.35: In Exercises 2940, find the standard form of the equation of the pa...
 10.2.36: In Exercises 2940, find the standard form of the equation of the pa...
 10.2.37: In Exercises 2940, find the standard form of the equation of the pa...
 10.2.38: In Exercises 2940, find the standard form of the equation of the pa...
 10.2.39: In Exercises 2940, find the standard form of the equation of the pa...
 10.2.40: In Exercises 2940, find the standard form of the equation of the pa...
 10.2.41: In Exercises 4150, find the standard form of the equation of the pa...
 10.2.42: In Exercises 4150, find the standard form of the equation of the pa...
 10.2.43: In Exercises 4150, find the standard form of the equation of the pa...
 10.2.44: In Exercises 4150, find the standard form of the equation of the pa...
 10.2.45: In Exercises 4150, find the standard form of the equation of the pa...
 10.2.46: In Exercises 4150, find the standard form of the equation of the pa...
 10.2.47: In Exercises 4150, find the standard form of the equation of the pa...
 10.2.48: In Exercises 4150, find the standard form of the equation of the pa...
 10.2.49: In Exercises 4150, find the standard form of the equation of the pa...
 10.2.50: In Exercises 4150, find the standard form of the equation of the pa...
 10.2.51: In Exercises 51 and 52,change the equation of the parabola so that ...
 10.2.52: In Exercises 51 and 52,change the equation of the parabola so that ...
 10.2.53: In Exercises 53 and 54, the equations of a parabola and a tangent l...
 10.2.54: In Exercises 53 and 54, the equations of a parabola and a tangent l...
 10.2.55: In Exercises 5558, find an equation of the tangent line to the para...
 10.2.56: In Exercises 5558, find an equation of the tangent line to the para...
 10.2.57: In Exercises 5558, find an equation of the tangent line to the para...
 10.2.58: In Exercises 5558, find an equation of the tangent line to the para...
 10.2.59: Revenue The revenue (in dollars) generated by the sale of units of ...
 10.2.60: Revenue The revenue (in dollars) generated by the sale of units of ...
 10.2.61: Satellite Antenna The receiver in a parabolic television dish anten...
 10.2.62: Suspension Bridge Each cable of the Golden Gate Bridge is suspended...
 10.2.63: Road Design Roads are often designed with parabolic surfaces to all...
 10.2.64: Highway Design Highway engineers design a parabolic curve for an en...
 10.2.65: Satellite Orbit A satellite in a 100milehigh circular orbit aroun...
 10.2.66: Path of a Softball The path of a softball is modeled by where the c...
 10.2.67: A ball is thrown from the top of a 75foot tower with a velocity of...
 10.2.68: A cargo plane is flying at an altitude of 30,000 feet and a speed o...
 10.2.69: It is possible for a parabola to intersect its directrix.
 10.2.70: If the vertex and focus of a parabola are on a horizontal line, the...
 10.2.71: Exploration Consider the parabola (a) Use a graphing utility to gra...
 10.2.72: Geometry The area of the shaded region in the figure is (a) Find th...
 10.2.73: Exploration Let be the coordinates of a point on the parabola The e...
 10.2.74: Writing In your own words, state the reflective property of a parab...
 10.2.75: In Exercises 7578, list the possible rational zeros of given by the...
 10.2.76: In Exercises 7578, list the possible rational zeros of given by the...
 10.2.77: In Exercises 7578, list the possible rational zeros of given by the...
 10.2.78: In Exercises 7578, list the possible rational zeros of given by the...
 10.2.79: Find a polynomial with real coefficients that has the zeros and
 10.2.80: Find all the zeros of if one of the zeros is
 10.2.81: Find all the zeros of the function if two of the zeros are
 10.2.82: Use a graphing utility to graph the function given by Use the graph...
 10.2.83: In Exercises 8390, use the information to solve the triangle. Round...
 10.2.84: In Exercises 8390, use the information to solve the triangle. Round...
 10.2.85: In Exercises 8390, use the information to solve the triangle. Round...
 10.2.86: In Exercises 8390, use the information to solve the triangle. Round...
 10.2.87: In Exercises 8390, use the information to solve the triangle. Round...
 10.2.88: In Exercises 8390, use the information to solve the triangle. Round...
 10.2.89: In Exercises 8390, use the information to solve the triangle. Round...
 10.2.90: In Exercises 8390, use the information to solve the triangle. Round...
Solutions for Chapter 10.2: Introduction to Conics: Parabolas
Full solutions for Precalculus  7th Edition
ISBN: 9780618643448
Solutions for Chapter 10.2: Introduction to Conics: Parabolas
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Chapter 10.2: Introduction to Conics: Parabolas includes 90 full stepbystep solutions. Precalculus was written by and is associated to the ISBN: 9780618643448. This textbook survival guide was created for the textbook: Precalculus, edition: 7. Since 90 problems in chapter 10.2: Introduction to Conics: Parabolas have been answered, more than 39953 students have viewed full stepbystep solutions from this chapter.

Associative properties
a + (b + c) = (a + b) + c, a(bc) = (ab)c.

Average rate of change of ƒ over [a, b]
The number ƒ(b)  ƒ(a) b  a, provided a ? b.

Continuous at x = a
lim x:a x a ƒ(x) = ƒ(a)

Divisor of a polynomial
See Division algorithm for polynomials.

Graph of a polar equation
The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

Heron’s formula
The area of ¢ABC with semiperimeter s is given by 2s1s  a21s  b21s  c2.

Irrational zeros
Zeros of a function that are irrational numbers.

Linear system
A system of linear equations

Maximum rvalue
The value of r at the point on the graph of a polar equation that has the maximum distance from the pole

Multiplication property of equality
If u = v and w = z, then uw = vz

Origin
The number zero on a number line, or the point where the x and yaxes cross in the Cartesian coordinate system, or the point where the x, y, and zaxes cross in Cartesian threedimensional space

Parabola
The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

Partial fractions
The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

Principle of mathematical induction
A principle related to mathematical induction.

Quotient of complex numbers
a + bi c + di = ac + bd c2 + d2 + bc  ad c2 + d2 i

Riemann sum
A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

Row echelon form
A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

Triangular form
A special form for a system of linear equations that facilitates finding the solution.

Upper bound for ƒ
Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

Variable (in statistics)
A characteristic of individuals that is being identified or measured.