Solve each equation by factoring.
p2 + -2p - 10 = 5
5, -3
4x2 + 25 = 125
x= 5 or x = -5
m2 − 5m − 14 = 0
{7, −2}
a2 + 14a - 51 = 0
{3, -17}
The value of "a" for a graph of a quadratic function opening downward.
What is negative?
The "b" of the quadratic function y=2x2 + 5
What is zero?
9n2 + 39n = -36
-4/3, -3
(4x + 1)2 - 16 = 0
x = 3/4 or x = -5/4
b2 − 4b + 4 = 0
{2}
x2 − 12x + 11 = 0
{11, 1}
The vertex of the quadratic function y = 5x2 + 10x - 2 is a ____________________ point.
What is minimum?
The "a", "b" and "c" of the quadratic function
y= 1 - 2x2 + 3x
What is a=-2, b=3 and c=1?
7r2 + 84 = -49r
-4, -3
34 = (a - 2)2 - 2
a = 8 or a = -4
2x2 − 3x − 5 = 0
{5/2 , −1}
n2 = 18n + 40
{20, −2}
Order the following quadratic functions from narrowest to widest:
y=4x2 y=-12x2 y=11x2 y=-2x2
What is y=-12x2, y=11x2, y=4x2, y=-2x2?
The coordinates of the y-intercept for the quadratic function y=3x2 + 2x
What is (0,0)?
3v2 + 7v = 40
8/3, -5
0 = 3(x + 7)2 - 24
x = -7 + 2 square root of 2
or
x = -7 - 2 square root of 2
9n2 = 4 + 7n
{ 7 + square root of 193 / 18, 7 - square root of 193 / 18}
x2 − 10x + 26 = 8
{5 + square root 7, 5 square root − 7}
Order the following quadratic functions from widest to narrowest:
y=4x2 y=2/3 x2 y=-2x2 y=-2/5 x2
What is y=-2/5 x2, y=2/3 x2, y=-2x2, y=4x2
Find the axis of symmetry for the quadratic function y=2x2 + 6x + 4.
What is x = -3/2?
2x2+19x-10
x = 1/2 or x = -10
7x2-84=0
3.46 or -3.46
square root of 12 or - square root of 12
-x2=6x+5
x = -5 or x = -1
The Martinez family has a walkway around their swimming pool. The area of the walkway can be described by the equation
A(w) = 4w2+100w, where w is the width of the walkway. The total area of the walkway is 464 square feet.What is the width of the walkway?
4 feet
If a quadratic function has a root at (-3,0) and a maximum at (2,5), then what is the other root?
What is x=7?
If the axis of symmetry is x = 1/2 for the quadratic function y=2x2 - 2x + 3, the coordinates of the vertex is ____________________.
What is (1/2, 5/2)?