Review of Graphing Quadratics

Review of Graphing Quadratics Activity

In this activity, you will review graphing quadratics in standard and vertex form.

Take notes as you feel appropriate. You will have some multiple choice questions as follow-ups to make sure you understand the concepts.

Have a "quad"-tastic time :)

Multiple Choice

What is the vertex of the quadratic function?

f(x) = x² - 6x + 11

• (3,2)

• (-3,-2)

• (-3,2)

• (3,-2)

Multiple Choice

What is the vertex?
f(x) = -x² - 4x + 12.

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)

Multiple Choice

If "a" is negative in the quadratic function, which way does the parabola open?

• up

• down

• left

• right

Multiple Choice

What is the y-intercept?
f(x) = -2x² + 4x - 6

• (0, 6)

• (0, -6)

• (6, 0)

• (-6, 0)

Multiple Choice

What is the vertex and axis of symmetry?

$$f\left(x\right)\ =\ -x^{2\ }+\ 6x\ -\ 2$$  

• Vertex: (3,7)

  AOS: x = 3

• Vertex: (3,7)

  AOS: y = 3

• Vertex: (-2,6)

  AOS: x = -2

• Vertex: (2,6)

  AOS: x = 2

Multiple Choice

Does the following function have a maximum or a minimum? $$f\left(x\right)=x^2+4x+7$$  

• Maximum

• Minimum

Multiple Choice

Identify the y-intercept:

$$y=\ x^2-2x-3$$  

• (0, -2)

• (0, -3)

• (-2, 0)

• (-3, 0)

Multiple Choice

Find the Axis of Symmetry:

f(x) = -2x² + 8x -5

• x = -3

• x = 2

• x = 4

• x = -2

Multiple Choice

Find the Vertex:

f(x) = x² - 4

• (0,0)

• (0,4)

• (0,-4)

• (4,0)

Multiple Choice

A parabola has a vertex at (-3,2).

What is the axis of symmetry?

• y = -2

• x = 2

• x = -3

• y = -3

Multiple Choice

The axis of symmetry line passes through which point?

• y-intercept

• any random point

• vertex

• none of these

Multiple Choice

Determine the vertex:

f(x) = 5x² - 20x + 13

• (5, -7)

• (-2, -7)

• (2, -7)

• (-7, -2)

Multiple Choice

$$f\left(x\right)=-\left(x-4\right)^2+1$$   Choose the correct graph of the function.

Multiple Choice

Which equation represents the graph shown?

• y = (x -5)² + 1

• y = (x - 1)² - 5

• y = (x + 1)² - 5

• y = (x + 5)² +1

Multiple Choice

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

Multiple Choice

Identify the vertex and whether the graph has a maximum or minimum.

• (5, 2)

  maximum

• (5, 2)

  minimum

• (-5, 2)

  minimum

• (-5, 2)

  maximum

Multiple Choice

What is the axis of symmetry?

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

• y = 4

• x = -4

• x = 4

• x = -5

Multiple Choice

What is the vertex?

f(x) = 2(x - 5)² + 6

• (2,-5)

• (-5,6)

• (2,6)

• (5,6)

Multiple Choice

What is the y-intercept?

f(x) = -2(x+3)² + 2

• (0, -4)

• (0, -16)

• (0, 2)

• (0, 38)

Multiple Choice

Does the function have a maximum or minimum? What is the value of it?

$$f\left(x\right)\ =\ -2\left(x+5\right)^2+2$$  

• Minimum = 2

• Maximum = 2

• Minimum = -5

• Maximum = -5

Multiple Choice

What is the vertex and axis of symmetry?

f(x) = -2(x+3)² + 2

• Vertex: (-3,2)

  AOS: y = 3

• Vertex: (2,-3)

  AOS: x = 2

• Vertex: (-3,2)

  AOS: x = -3

• Vertex: (3,2)

  AOS: x = 2

Multiple Choice

Write a quadratic function in vertex form with vertex (-4, 6) that opens up

• f(x) = -2(x - 4)² + 6

• f(x) = (x + 4)² + 6

• f(x) = -2(x + 4)^{2 + 6}

• f(x) = (x - 4)² + 6