Graphing Quadratic Equations Two Truths and a Lie

• The solutions to the equation are x = -1 and x = 9

• The solutions to the equation are x = 1 and x = -9

• The parabola opens down at a rate of 1, 3, 5, . . .

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

• The parabola has a stretch factor of 2

• The equation is not quadratic

• The equation is in intercept (factored) form

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CCSS.HSF-IF.C.7A

How many zeros does this parabola have? 

• 3

• 2

• 0

• 1

Tags

CCSS.HSF-IF.C.7A

Quadratic equations take the shape of a _______ when graphed.

• parabola

• straight line

• wavey line/snaked

• circle/elliptical

Tags

CCSS.HSF-IF.C.7A

If we have the equation here, can we graph and match?

(a)  

• F

• G

• H

• J

Tags

CCSS.HSF-IF.C.7A

Label the following in the graph:

a

b

d

c

e

root/x-intercept right

vertex

y-intercept

root/x-intercept left

axis of symmetry (AOS)

Tags

CCSS.HSF-IF.C.7A

Tags

CCSS.HSF-IF.C.7A

Tags

CCSS.HSA.CED.A.2

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 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

Tags

CCSS.HSF-IF.C.7A