Graphing Quadratic Equations Using Vertex

If the equation, h = -16t² + 80t + 25 represents the pathway of a firework

on July 4th, what is the maximum

height the firework will reach?

(Show work for credit)

• 80 feet

• 90 feet

• 125 feet

• 140 feet

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3, 7) and passes through the point (1, 10)?

• y = ^3/₄(x + 3)² + 7

• y = - ^3/₄(x + 3)² - 7

• y = ^3/₄(x − 3)² + 7

• y = - ^3/₄(x − 3)² + 7

How many solutions does this graph have?

• one

• two

• no real solutions

• cannot be determined

What is the vertex for the quadratic: m(x)=2(x+4)^2-8

c

d

-8

2

8

4

-4

Sketch the graph using the 3 forms above.

Tags

CCSS.HSF-IF.C.7A

Label the graph

c

d

e

b

a

Axis of symmetry

y-intercept

¹ˢᵗ root

²ⁿᵈ root

Vertex

Tags

CCSS.HSF-IF.C.7A

Sketch the graph using the equations

Tags

CCSS.HSA.REI.C.7

Sketch the graph from the three forms

Tags

CCSS.HSF-IF.C.7A

Sketch the graph using the three equations

Draw the Axis of Symmetry