Key Features
Completing the Square/Converting to Vertex Form
Axis of Symmetry and Vertex
Other
AROC/Systems of Equations
100

What is the y-intercept of the quadratic function f(x)=2x2+4x-5

Write your answer as an ordered pair

(0, -5)

100

What number should go in the blank?

x2-10x+____= 11+____

25

100

What is the axis of symmetry of the parabola f(x)=-4(x-3)2+5

x=3

100

When a quadratic function is in intercept form, how can the axis of symmetry be found graphically? 

Plot the x-intercepts and find the middle

100

Find the average rate of change of f(x)=x2-9x+12 on the interval [2, 3]

-4

200

What is the vertex of the quadratic function f(x)=5(x-7)2+2

Write your answer as an ordered pair

(7, 2)

200

Solve by completing the square

x2+8x-9=0

x= -9, 1

200

What is the vertex of the parabola f(x)=(x+3)2-8

(-3, -8)

200

What are the x-intercepts of the function f(x)=x2-10x+24

Write your answer as an ordered pair(s)

(6, 0) and (4, 0)

200

Find the average rate of change of the function f(x)=x2-x-13 from x=0 to x=2

1

300

What are the x-intercepts of the quadratic function f(x)=(x+3)(x-2)

Write your answer as an ordered pair(s)

(-3, 0) and (2, 0)

300

Solve by completing the square 

x2-2x-8=0

x=-2, 4

300

What is the axis of symmetry of f(x)=3x2-24x+45

x=4

300

What is the domain of the function f(x)=-1/2(x+15)2+42

All real numbers

300

What are the solutions to the system of equations? Write your solution as an ordered pair(s)

y=2x+8

y=x2+12x+32

(-6, -4) and (-4, 0)

400

What is the direction of opening of the quadratic function f(x)=2x2-3x+9

a is positive, so opens up

400
Write the function f(x)=x2+12x+32 in vertex form

f(x)=(x+6)2-4

400

What is the vertex of f(x)=2x2-8x-7

(2, -15)

400

What is the range of the function f(x)=-1/2(x+15)2+42

(-∞ , 42]

400

What are the solutions to the system of equations? Write your solution as an ordered pair(s)

y=3x2+4x+1

y=x+1

(-1, 0) and (0, 1)

500

Determine if the quadratic function has a maximum or minimum f(x)=-(x+3)2-7

a is negative, so the parabola opens down

There will be a maximum

500

Write the function 

f(x)=x2-8x+15 in vertex form

f(x)=(x-4)2-1

500

What is the minimum of f(x)=x2-2x+3

Write your answer as an ordered pair

(1, 2)

500

What are the transformations of the quadratic function f(x)=2(x+3)2-4

Vertical stretch by a factor of 2, shifted left 3 units, shifted down 4 units
500

What are the solutions to the system of equations? Write your solution as an ordered pair(s)

y=x2+1

y-x=1

(0, 1) and (1, 2)

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