Transformations in Vertex Form/Quad

Identify the vertex of f(x) = -2(x+1)² + 3

• (h,k)

• (3, 1)

• (-1,-3)

• (-1,3)

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

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

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

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

• f(x) = -(x + 2)² - 1

• f(x) = -(x - 2)² - 1

Which equation is graphed above?

• $y=-\left(x-1\right)^2+4$

• $y=\left(x-1\right)^2+4$

• $y=-\left(x-4\right)^2+1$

• $y=\left(x-4\right)^2+1$

 $f\left(x\right)=-\left(x-4\right)^2+1$  

Choose the correct graph of the equation.

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Which way does the following equation open? $f\left(x\right)=-\frac{1}{2}\left(x-5\right)^2+6$  

• upward

• downward

Explain the translation:

y = x² - 7

• translated left 7

• translated right 7

• translated up 7

• translated down 7

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