Graphing and Transforming Quadratic Functions in Vertex Form

If given the equation

y = 3(x + 5)² - 4,

what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2

What is the axis of symmetry for the following quadratic function: f(x)=1/2(x-4)²+3

• x=4

• x=-4

• x=1/2

• x=3

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

• f(x) = -(x + 2)² - 1

• f(x) = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A

Which equation is graphed above?

Tags

CCSS.HSF-IF.C.7A

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)

• (-3,4)

• (3, -4)

• (-3,-4)

Which of the following is the correct equation for the given graph?

• f(x) = -(x + 2)² - 4

• f(x) = -(x - 2)² - 4

• f(x) = -3(x - 2)² - 4

• f(x) = -3(x + 2)² - 4

Tags

CCSS.HSF-IF.C.7A

Which equations matches the graph above?

Tags

CCSS.HSF-IF.C.7A

Which equation matches the graphed above?

Tags

CCSS.HSF-IF.C.7A