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Quadratic Graphs
Quadratic Properties
Quadratic Functions I
Quadratic Functions II
Functions
100

How many zeros (x-intercepts) can a quadratic function have? List all possibilities.

2, 1, or none

100

What is the value of "a" for a graph of a quadratic function opening downward?

- a

100

What is the y - intercept?

y=-2x2 + 5x - 7

(0,-7)

100

Find the roots of the quadratic equation

x2-16=0

x=4, x=-4

100

Find the vertex of the equation x2-8x+10.

(4,-6)

200

What is the standard form of a quadratic equation?

 ax2 + bx + c

200

If the a in ax2+bx+c is 0.01, is the parabola wide or narrow?

Wide

200

Find the zeros of the equation y=6x2-7x-5.

{5/3, -1/2}

200

Find the discriminant in the following equation and state the number of solutions.

f(x)=2x2-8x+5

Discriminant=24

Number of solutions= 2 real solutions

200

What is the positive solution of f(x) = 2x2 + 3x -2? 

x=1/2

300

What is the name of the line that divides a quadratic function exactly in half?

 Axis of Symmetry

300

Find the solutions of the equation x2 - 49 = 0

{7, -7}

300

Find the vertex form in y=-3x2-6x+6.

y=-3(x+1)2+9

300

Find the coordinates of the y-intercept for the quadratic function: 

y=3x2 + 2x - 1

The y-intercept is (0, -1)

300

Get the vertex form of f(x)=x2-6x+9.

y=(x-3)2

400

What is the name of the point on a quadratic function that will be the maximum or minimum of the function?

vertex

400

What are the zeros of the equation

 y = x2 + 11x + 24 ?

{-8, -3}

400

Find the number of solutions and the vertex for the quadratic function: 

y = 4x2 + 36x + 81

Number of solutions: 1 real solution

Vertex: (-4.5,0)

400

Find the y-intercept and vertex for this quadratic function.

x2 + 49 = 14x


The y-intercept is (0, 49) and 

the vertex is (7, 0).

400

f(x)=1/2(x+2)(x-10)

If the function f above has a vertex at point (h,k) in the x-y plane, what is the value of k?

k=-18

500

3x2+10x=8

If a and b are the two solutions to the equation above and a is greater than b, what is the value of b2?

b2= 16

500

What is the domain of a quadratic function?

All real numbers

500

y=2x2+13x-3

y+3=2(x+3)

If (x,y) is a solution of the system of equations above and x is greater than 0, what is the value of xy?


xy=2

500

h= 256t-16t2

A ball is thrown straight up from the ground with an initial velocity of 256 feet per second. The equation above describes the height the ball can reach in t seconds. If the ball reaches its maximum height in k seconds, what is the value of k?

k=8

500

Which of the following is equivalent to y=3x2-6x+10?

A)y=3x2+10

B)y=3(x-1)2+7

C)y=3(x-1)2+10

D)y=3(x+2)2-2

B)y=3(x-1)2+7