Quadratic Functions in Vertex and Standard Form

What is the vertex of this parabola?

• (−1, 3)

• (−3, 11)

• (−2, 5)

• (0, 5)

What piece of information does k identify in the following equation? y = a(x - h)² + k

• y value of the vertex

• x value of the vertex

• Direction (facing up or down)

• x-intercept

What is the vertex of the function   y = (x - 3)² + 5

• (-3, 5)

• (3, -5)

• (-3, -5)

• (3, 5)

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

• (3,4)

• (-3,4)

• (3, -4)

• (-3,-4)

The graph of a quadratic function is shown. The vertex and two points are labeled. Drag and drop the numbers and operations to write the equation for the parabola in vertex form. y = ​ (a)   (x​​ (b)   (c)   )² - (d)  

• -

• 1

• 6

• 12

• 4

• 8

• +

The graph of a quadratic function is shown. The vertex and two points are labeled. Drag and drop the numbers and operations to write the equation for the parabola in vertex form. y = ​ (a)   (x​​ (b)   (c)   )² - (d)  

• -

• 1

• 6

• 12

• 4

• 8

• +

Given the equation above, which of the following statements is FALSE?

• The graph opens upward.

• The vertex is at (7, 4).

• The parabola crosses the x-axis twice.

• The standard form is y= 2x² - 28x + 102.

• The axis of symmetry is x = 7.

Tags

CCSS.HSF-IF.C.7A

Write the equation of the quadratic function that has a vertex of (-5, 9) and passes through the point (-7, -15).

• y = 6(x + 5)² + 9

• y = -6(x - 5)² + 9

• y = 6(x - 5)² + 9

• y = -6(x + 5)² + 9

What is the name of this form:
y = a(x - h)² + k

• vertex form

• standard form

• factored form

• zero form

Suppose a parabola has vertex (-8, -7) and also passes through the point (-7,-4). Write the equation of the parabola in vertex form.

• y = (x + 8)² - 7

• y = 3(x - 8)² - 7

• y = 3(x + 8)² - 7

• y = 3(x + 8)² + 7