Vertex Form of a Parabola

The graph of a quadratic function is called a

• Parabola
• Vertex
• Axis of Symmetry 
• Vertex Form

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the axis of symmetry of the given function?

• y = 1
• y = -1
• x = 1
• x = -1

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

• (3,4)
• (-3,4)
• (3, -4)
• (-3,-4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What element of a quadratic equation causes the graph of a parabola to open downward?

 $y=\pm a\left(x-h\right)^2+k$  

• When  $a$   is a fraction

• When  $a$   is a decimal

• When  $a$   is a negative number

• When  $a$   is greater than 1

Fill in the blank.

The axis of symmetry is an imaginary line that passes through the parabola at _____________________ and creates a mirror like image of the parabola on each side it.

• y-intercept

• any random point

• vertex

• symmetrical point for the vertex

Which equation below best describes the graph of this parabola?

• f(x) = (x -5)² + 1

• f(x) = (x - 1)² - 5

• f(x) = (x + 1)² - 5

• f(x) = (x + 5)² +1

Given the equation y = 3(x + 5)² - 4, state the vertex of the parabolic graph.

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

What do we call the green dashed line that divides the parabola into a mirror image on each side of it?

• y-axis

• axis of equality

• axis of symmetry

• line of symmetry

If a parabola has a vertex located at (-3,2) what is the equation of the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2

Given the quadratic equation below, state the vertex and whether the graph opens up or down.

 $y=\frac{1}{4}\left(x+5\right)^2+2$  

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down