Graphing in Vertex Form

Introduction to Graphing in Vertex Form

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Multiple Select

Check all of the graphs that are quadratics. (Hint: think of the only directionality types we can have)

Multiple Choice

• a

• b

• c

• d

Multiple Choice

• a. (-6, 1)

• b. (6, 1)

• c. (-6, -1)

• d. (6, -1)

Multiple Choice

• a. (5, 12)

• b. (5, -12)

• c. (-5, 12)

• d. (-5, -12)

Multiple Select

Which equations are in vertex form?

• $$y\ =\ 3x^2-x+10$$

• $$y=\left(x+2\right)^2-4$$

• $$y\ =\ \left(x-1\right)\left(x+2\right)$$

• $$y=\frac{1}{4}\left(x-3\right)^2+15$$

• $$y=12\ +6x^2$$

Multiple Choice

Which equation has a vertex of (4, 2)?

• $$y=\left(x+2\right)^2-4$$

• $$y=\left(x-2\right)^2+4$$

• $$y=\left(x-4\right)^2+2$$

• $$y=\left(x+4\right)^2-2$$

Multiple Choice

Which graph could match the equation below?

$$y=2\left(x+3\right)^2+3$$  

Math Response

What the equation of a parabola be, in vertex form, with a vertex of (2, 4) and an a value of 3?

(hit the a with the box to get an exponent, then hit the over arrow key to have the cursor drop back down)

Type answer here

Correct Answer: y=3\left(x-2\right)^2+4

Deg^°

Rad

Math Response

What the equation of a parabola be, in vertex form, with a vertex of

(-3, 8) and an a value of -5?

(hit the a with the box to get an exponent, then hit the over arrow key to have the cursor drop back down)

Type answer here

Correct Answer: y=-5\left(x+3\right)^2+8

Deg^°

Rad

Open Ended

What was different about the equations in the last slide that caused the parabolas to look different?