Transformations of Quadratics

Transformations of Quadratics

Multiple Choice

What is the max/min value?

• Minimum of 3

• Minimum of -2

• Maximum of 0

• Maximum of 7

Multiple Choice

The axis of symmetry is a line that goes through the...

• y-intercept

• any random point

• vertex

• x-axis or y-axis

Multiple Choice

What is the axis of symmetry?

• x = -1

• x = -2

• y = -1

• y = -2

Multiple Choice

Is this a max or min?

• max

• min

Multiple Choice

What is the vertex?

• (1, -3)

• (-1, 3)

• (3, -1)

• (-3, 1)

Multiple Choice

If red represents y = x², which equation represents blue?

• y = 2x²

• y = -2x²

• y = -x²

• y = (x - 1)²

Multiple Choice

Does the graph of this equation widen or narrow from the parent function?

y= 5(x - 5)² + 3

• widen

• narrow

• neither

Multiple Select

In the equation f(x)=1/2(x+9)²-1, what happens to the parabola? (Choose ALL that apply.)

• right 9

• Vertical compress by 1/2

• Horizontal Compress by 1/2

• left 9

• down 1

Multiple Select

How did we transform from the parent function?

y = -1/5x² + 7 (Choose ALL that apply.)

• reflection over the x-axis

• vertical shift up 7

• vertical stretch of 1/5

• vertical shift down 7

• vertical compression of 1/5

Multiple Choice

What is the green dashed line called?

• roots or x-intercepts

• parabola

• axis of symmetry

• vertex

Multiple Choice

What is the axis of symmetry of the following equation:
y=-3(x-2)² - 4?

• x=-2
• x=2
• x=4
• x=-4

Multiple Choice

What is the vertex of the following equation:
y=-3(x-2)² - 4?

• (-2,-4)
• (2,-4)
• (3,-4)
• (2,4)

Multiple Choice

Does the quadratic have a max/min vertex, and does the graph open up/down?

• max/ opens down
• min/ opens up
• max/ opens up
• min/ opens down

Poll

How do you feel about transformations of quadratics?

• I've got it! Expert Level!

• I've almost got it! Just making a few mistakes.

• I could use some help, but I've got some things figured out.

• I'm really confused, and don't know which way is up.