Vertex Form of Quadratic Functions

What is the vertex form of a quadratic function?

• f(x) = 2a(x-h)² + k

• f(x) = a(x-h)² + k

• f(x) = (x+h)² + k

• f(x) = a(x-h) - k

What is the equation of this graph?

• f(x) = (x -5)² + 1
• f(x) = (x - 1)² - 5
• f(x) = (x + 1)² - 5
• f(x) = (x + 5)² +1

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

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4
• y = (x+3)² - 4
• y = (x - 3)² + 4

• y = 2(x - 3)² + 4

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)

Which equation is graphed above?

y = ax² + bx + c is

• a quadratic equation in vertex form
• a linear equation in vertex form.
• a quadratic equation in standard form.
• a linear equation in standard form.

Given: y = 2(x - 5)² + 6, the vertex is

• (2,-5)

• (-5,6)

• (2,6)

• (5,6)

When x² is changed to x² - 3, the graph

• Shifts left 3 units.
• Shifts right 3 units
• shifts up 3 units.
• Shifts down 3 units.

What is the green dot on the parabola called?

• maximum

• minumum

• roots

• zeros