Match Quadratic to Graph

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 y=x^2?

y = -3x²

• vertical reflection and vertical shift down

• vertical reflection and vertical stretch

• horizontal stretch

• vertical reflection and vertical compression

What is the vertex of this equation?

• (4, 6)

• (-4, -6)

• (-4, 6)

• (4, -6)

Identify the vertex of f(x) = 5(x+6)² - 7

• (5,6)

• (0,0)

• (6,-7)

• (-6,-7)

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.

• Vertically stretched by 4 and shifted up 4

• Vertically compressed by 4 and shifted up 4

• Vertically stretched by 4 and shifted right 4

• Vertically compressed by 4 and shifted right 4

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5

• y = 2(x + 4)² + 5

• y = -2(x - 4)² + 5

• y = -2(x + 4)² + 5

Tags

CCSS.HSF-IF.C.7A

If the blue graph is
f(x) = x² 
then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

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

• a reflection across the x-axis

• 4 units up

• 4 units to the left

• 4 units to the right

Match the description to its equation.
Moves right 7

• A

• B

• C

• D