Standard Form
Vertex Form
Intercept form
Graphs
Solve quadratic equations
100

Write this quadratic in standard form:

y=(x−2)2+3

y=x2−4x+7

100

dentify the vertex of:

y=(x−4)2+2

Vertex: (4,2)

100

Find the x-intercepts of:

y=(x−2)(x+5)


(2,0) and (−5,0)

100

a student says this graph has no symetry 

y=x2−4

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Every parabola has an axis of symmetry.
This graph’s axis of symmetry is:

x=4x

100

Solve:

x2−7x+12=0

A student writes:

(x−4)(x−3)=0

x=4

What is wrong with the solution?

The student only found one solution.

Correct solutions:

x=4 and x=3 

200

Identify the values of a, b, and c in:

y=2x2−5x+1

  • a=2
  • b=−5
  • c=1
200

What is the axis of symmetry of:

y=(x+1)2−5


x=−1

200

Find the axis of symmetry of:

y=(x−6)(x−2)


x=4

200

A student says the vertex of this graph is the x-intercept

y=x2+6x+

The vertex is (−3,0)
This is both the vertex and  x-intercept because the parabola only touches the axis once

200

Which method would be easiest to solve this equation?

x2−16=0

A. Factoring
B. Completing the Square
C. Graphing

A. Factoring

300

What is the y-intercept of:

y=x2+4x−8

The y-intercept is (0,−8)

300

What is the maximum or minimum value of:

y=−(x−1)2+9y


9

300

Find the y-intercept of:

y=(x−2)(x+4)

y-intercept: (0,−8)

300

A graph has a vertex at (3, -2) and opens upward.

What is the axis of symmetry?



x=3

300

True or False

The equation

x2+6x+9=0

has two different solutions.

False

It has one repeated solution:

x=−3

400

What is wrong with this statement?

y=x2+4x

“The y-intercept is 4.”


The y-intercept is actually (0,0) because there is no constant term

400

What is wrong with this equation?

y=(x−2)2

“It is written in standard form.”

It is written in vertex form, not standard form

400

What is wrong with these x-intercepts?

y=(x−2)(x+6)

“x-intercepts: 2 and 6”

x=2, x=−6

400

A student says this graph has no symmetry.

y=(x−4)2+2

Every parabola has an axis of symmetry.
This graph’s axis of symmetry is:

x=4

400

Find the value of kkk.

(x+4)(x+k)=x2+9x+20


k=5

500

What is wrong with this answer?

y=x2−8x+3y=x^2-8x+3y=x2−8x+3

“The axis of symmetry is x=8x”

x=−b/2a

x=8/2 =4

500

What is wrong with this statement about the vertex form equation?

y=−3(x+2)2+4

“The vertex is (2,4)”


(−2,4)

500

A soccer player kicks a ball. The height of the ball can be modeled by the equation:

h(t)=−(t−1)(t−5)

where h is the height of the ball in meters and ttt is the time in seconds.

  1. What do the x-intercepts represent in this situation?
  2. How long is the ball in the air?
  3. What is the axis of symmetry?
  4. At what time does the ball reach its maximum height?
  5. What is the maximum height of the ball? 


  1. The x-intercepts are: t=1 and t=5 they represent the times when the ball is on the ground.
  2. The ball is in the air from t=1 to t=5t 5−1.  =4 seconds
  3. Axis of symmetry:t=1+5/2=3
  4. t=3 seconds
  5. Substitute t=3t=3t=3:                     h(3)=−(3−1)(3−5)       h(3)=−(2)(−2)                                           h(3)=4
    Maximum height:4 meters 
500

A student says the vertex of this graph is the x-intercept.

y=x2+6x+9y

The vertex is (−3,0), which touches the x-axis only once.

500

Match the equation with its solutions.

Equation:

x2−2x−15=0

Choices:

A. x=3,−5

B. x=5,−3

C. x=15,−1

A. x=3,−5

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