Transformations in Vertex Form

Risk!

You must show your own work

1. You and your partner will work out a problem

2. Answer will pop up we will go over the answer

3. If you get it right you +4 points, wrong -4 points

4. You and your partner can decide if you want to risk. Stand up if you do

   Red = minus points

   Black = plus points

Multiple Choice

What steps transform the graph y = x² to y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

Multiple Choice

What steps transform the graph y = x² to y = (x-4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

Multiple Choice

Explain the translation:

y = (x + 9)² + 5

• translated left 9, up 5

• translated left 9, down 5

• translated right 9, up 5

• translated right 9, down 5

Multiple Choice

Explain the translation:

y = x² - 7

• translated left 7

• translated right 7

• translated up 7

• translated down 7

Multiple Choice

Explain the translation:

y = (x - 5)² - 1

• translated right 5, up 1

• translated left 5, down 1

• translated right 5, down 1

• translated left 5, up 1

Multiple Choice

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Compress by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Compress by 5, shifted 2 units left and 2 down

Multiple Choice

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Compress by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Compress by 5, shifted 2 units left and 2 down

Multiple Choice

Which transformations were applied to form the red graph from the blue graph?

• shrink

• stretch

• reflection, stretch

• reflection, shrink

Multiple Choice

Which transformations were applied to form the red graph from the blue graph?

• shrink, left 4, down 5

• stretch, left 4, down 5

• reflection, left 4, down 5

• reflection, shrink, left 4, down 5

Multiple Choice

Given $$f\left(x\right)=\frac{1}{4}x²$$  how did we transform from the parent function?

• Vertical compression (wider)

• Vertical stretch (narrower)

• Vertical compression (wider) and reflection over x-axis

• Vertical stretch (narrower) and reflection over x-axis

Multiple Choice

Describe the transformation below: $$-\left(x+3\right)^2+6$$  

• reflect over the x-axis

• reflect over the x-axis, left: 3, up: 6

• stretch, left: 3, down: 6

• left: 3, down: 6

Multiple Choice

Describe the transformations below: $$\left(x+1\right)^2-4$$  

• left: 1, up: 4

• left: 1, down: 4

• right: 1, up: 4

• right: 4, up: 1

Multiple Choice

Identify the a, h, and k terms in the following equation: $$2\left(x+4\right)^2-1$$  

• a=2, h=-4, k=-1

• a=-2, h=4, k=1

• a=2, h=4, k=1

• a=-2, h=-4, k=1

Multiple Choice

Identify the a, h, and k term from the following equation: $$\left(x+3\right)^2+2$$  

• a=-1, h=3, k=2

• a=3, h=3, k=3

• a=1, h=-3, k=2

• a=1, h=-3, k=-2

Multiple Choice

Determine if the following is narrow or wider: $$\frac{2}{3}\left(x+3\right)^2+6$$  

• Narrow

• Wider

Multiple Choice

Gerry plotted the equation $$y=x^2$$   on a coordinate gird. He wants to translate the graph 4 units to the left and 3 units up. What will be the equation of the translated graph?

• $$y=\left(x+3\right)^2+4$$  

• $$y=\left(x+4\right)^2+3$$  

• $$y=\left(x+4\right)^2-3$$  

• $$y=\left(x+3\right)^2-4$$  

Multiple Choice

Describe the transformation:

$$f\left(x\right)=\left(x+3\right)^2-2$$  

• right 3, down 2

• up 3, left 2

• left 3, up 2

• left 3, down 2

Multiple Choice

Which quadratic would be the narrowest?

• $$f\left(x\right)=\frac{1}{2}x^2$$

• $$f\left(x\right)=x^2$$

• $$f\left(x\right)=3x^2$$

• $$f\left(x\right)=5x^2$$

Multiple Choice

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

• g(x)=f(x + 3)
• g(x)=f(x - 3)
• g(x)=f(x) + 3
• g(x)=f(x) - 2

Multiple Choice

Given f(x) = (x + 6)² - 2 , how did we transform from the parent function?

• Horizontal shift left 6, vertical shift up 2

• Horizontal shift left 6, vertical shift down 2

• Horizontal shift right 6, vertical shift down 2

• Horizontal shift right 6, vertical shift up 2

Multiple Choice

How did we transform from y=x^2?

y = -3x²

• vertical reflection and vertical shift down

• vertical reflection and vertical stretch

• horizontal stretch

• vertical reflection and vertical compression

Multiple Choice

Given f(x) = ax² , if 0 < a < 1 , the graph will transform by

• becoming wider or vertically compressed

• becoming narrower or vertically stretched