Tranformations

The parent quadratic function has been transformed into the function  $f\left(x\right)=2\left(x+3\right)^2-2$ .  Which graph represents  $f\left(x\right)$ ?

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The parent quadratic function has been transformed into the function  $f\left(x\right)=3\left(x+4\right)^2-1$ .  Which graph represents  $f\left(x\right)$ ?

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The parent quadratic function has been transformed into the function  $f\left(x\right)=-2\left(x-1\right)^2+2$ .  Which graph represents  $f\left(x\right)$ ?

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The parent quadratic function has been transformed into the function  $f\left(x\right)=0.5\left(x+2\right)^2-4$ .  Which graph represents  $f\left(x\right)$ ?

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The parent quadratic function has been transformed into the function  $f\left(x\right)=3\left(x-4\right)^2+3$ .  Which graph represents  $f\left(x\right)$ ?

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What steps transform the graph y = x² to y = x² + 8 (a)  

• 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 (a)  

• Shifted down 4 units
• Shifted left 4 units
• Shifted right 4 units
• Shifted up 4 units

What is the vertex form of a quadratic function? (a)  

• f(x) = 2a(x-h)² + k
• f(x) = a(x-h)² + k
• f(x) = (x+h)² + k
• f(x) = a(x-h) - k

Match the equation to its description.

• Vertically stretched by 2 and shifted up 4

• Vertically compressed by 2 and shifted up 4

• Vertically stretched by 2 and shifted left 4

• Vertically compressed by 2 and shifted left 4

Match the equation to its description.

• Reflected over x-axis and shifted up 4

• Reflected over x-axis and shifted down 4

• Reflected over x-axis and shifted right 4

• Reflected over x-axis and shifted left 4