Graphing Quadratic Equations Intro

The U-Shape of a graph is called a

• X-Value

• Height

• Parabola

• Marabola

• x = -1

• y = -1

• x = 1

• y = 1

Write the equation that models the function graphed

• Not Possible

Determine what the vertex is AND determine what the vertex represents

• -1, 3

  Minimum

• 2, 0

  Maximum

• 0, 8

  Maximum

• 3, -1

  Minimum

The graph of quadratic function f is shown on the grid.

f(x) = (x + 3)² − 5

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Minimum Value: (d)  

• (-3, -5)

• (0, 4)

• x = -3

• -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• 4

• x = -5

• -4

The graph of quadratic function f is shown on the grid.

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Minimum Value: (d)  

• (-3, -5)

• (0, 4)

• x = -3

• -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• 4

• x = -5

• -4

The quadratic equation is in STANDARD FORM

y = x² + 6x + 3

and is graphed on the right.

Label the coordinates for the x-intercepts, y-intercept and vertex

d

c

b

a

(0, 3)

(-0.5, 0)

(-5.5, 0)

(-3, -6)

The quadratic equation in VERTEX FORM: y = (x + 3)² - 6 is graphed on the right. Find the coordinates for the x-intercepts, y-intercept and vertex

• (-5.5, 0) (-0.5, 0)

• vertex

• (-3, -6)

• y-intercept

• (0, 3)

• x-intercept

The graph of quadratic function f is shown on the grid.

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Range : (d)  

• (-3, -5)

• (0, 4)

• x = -3

• x ≥ -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• x ≥ 3

• x = -5

• -4

The quadratic equation in VERTEX FORM: y = (x + 3)² - 6

is graphed on the right.

Find the coordinates for the x-intercepts, y-intercept and vertex

• (-5.5, 0) (-0.5, 0)

• y-intercept

• (0, 3)

• x-intercept

• (-3, -6)

• vertex