Quadratic Transformations 7C

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

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

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

• g(x)=x² - 5

• g(x)=x² + 5

• g(x)=(x - 5)²

• g(x)=(x + 5)²

How did we transform from the parent function?
y = x² + 2

• horizontal shift up
• vertical shift up
• horizontal shift down
• vertical shift down

• H.) g(x) = x²- 4.5

• J.) g(x) = x² + 4.5

Quadratic functions q and w are graphed on the same coordinate grid. The vertex of the graph of q is 18 units below the vertex of the graph of w. Which pair of functions could have been used to create the graphs of q and w?

• A.) q(x) = 18x² and w(x) = x²

• B.) q(x) = x² + 18 and w(x) = x²

• C.) q(x) = -18x² and w(x) = x²

• D.) x² - 18 and w(x) = x²

The graph of f(x) = x² was transformed to create the graph of g(x) = (x - 7.5)². Which of these describes this transformation?

• F.) A horizontal shift to the right 7.5 units.

• G.) A horizontal shift to the left 7.5 units.

• H.) A vertical shift down 56.25 units.

• J.) A vertical shift up 56.25 units.

• (-4,3)

• (4,3)

• (-4,-3)

• (4,-3)

• right 3, down 2

• up 3, left 2

• left 3, up 2

• left 3, down 2