Identify the Quadratic Graph A(x-H)²+K

What steps transform the graph y = x² to y = -1/2(x-4)² + 1?

• Vertically compressed by 1/2, shifted 4 units right and 1 unit up

• Reflected across x-axis, vertically compressed by 1/2, shifted 4 units right and 1 unit up

• Reflected across x-axis, vertically stretched by 1/2, shifted 4 units left and 1 unit up

• Vertically stretched by 1/2, shifted 4 units right and 1 unit down

What steps transform the graph y = x² to y = (x+1)² + 4

• shifted right 1 unit and up 4 units

• Shifted right 1 unit and down 4 units

• shifted left 1 unit and down 4 units

• shifted left 1 unit and 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

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

• (h,k)

• (3, 1)

• (-1,-3)

• (-1,3)

What does the quadratic function that has a vertex of (3,4) look like?

• y = a(x+3)² + 4

• y = a(x-3)² + 4

• y = -a(x+3) - 4

• y = a(x-3)² - 4

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 transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• 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

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

• horizontal shift up

• vertical shift up

• horizontal shift down

• vertical shift down

What is the vertex of this equation?

• (4, 6)

• (-4, -6)

• (-4, 6)

• (4, -6)