Quadratic Transformations

What steps transform the graph f(x) = x² to g(x) = f(x) + 8?

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = f(x + 4)?

• a reflection across the line x = -4
• a reflection across the line y = -4
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

If the blue is f(x)=x^2, then the red must be

• g(x)=f(x) - 5

• g(x)=f(x) + 5

• g(x)=f(x - 5)

• g(x)=f(x + 5)

If f(x)=x² was transformed to g(x)=f(x+4)-6, what is the vertex of g(x)?

• (4, 6)

• (-4, -6)

• (-4, 6)

• (4, -6)

The graph of quadratic parent function f(x)=x² was transformed to create a graph of

g(x) = f(x+3) - 5. Which graph represents g?

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The graph of quadratic parent function f(x)=x² was transformed to create a graph of

g(x) = f(x+3)-5. Which graph represents g?

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The graph of quadratic parent function f was transformed to create the graph of g(x) = f(x-7.5). Which of these describes this transformation?

• A horizontal shift to the left 7.5 units

• A horizontal shift to the right 7.5 units

• A vertical shift down 56.25 units

• A vertical shift up 56.25 units

The graph of quadratic parent function f was transformed to create a graph of h(x) = 2f(x). Which graph represents this transformation?

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Which of the following shows the quadratic transformation from the parent function f(x) = x² ?

• g(x)=f(x) + 2

• g(x) = f(x-2) + 1

• g(x)= f(x+2) - 1

• g(x)= f(x+2)² + 1

The quadratic function f(x)=x²

was transformed 3 units to the left and 5 units up. Which of the following equations shows this transformation?