Sec 7: Finding

the Max/Min of a

Quadratic

Equation

Learning Target: I will calculate the

maximum or minimum of a quadratic

equation and apply it to real-world

situations.

Homework:Max/Min worksheet

Qualit

y C

ore

Pr

act

ice

Solv

ing

Quadra

tic

Equati

ons

Pract

ice

1.Give exact solutions.

2.Estimate solutions to

the nearest tenth.

Max/

Min

Form

ula

To find the x-value of a

vertex for any quadratic

equation in the form , use

the formula:

Think About It:How could you find the y-value if you have the x-value?

Ex

1: F

indin

g a

Vert

ex A

lgebra

ically

Find the vertex of the

parabola

a.Is this a max or a min?b.Using your graphing

calculator check your

answer.

Ex

2:

Not

the

Real W

orl

d!!

!

A ball is thrown from the

top of a building 80 feet

tall with a velocity of 15

feet/sec modeled by the

equation

a.How high will the ball

go?b.At what time will the

ball reach it’s maximum

height?

Ex

3: U

sing a

Vert

ex

to G

raph a

Quadra

tic

Funct

ion

Graph

1.Find the x-value of the

vertex.2.Make a table of values

with the vertex in the

middle.3.Find the matching y-values.4.Graph

HO

MEW

OR

K Max/Min Worksheet*Hint – be careful about

determining if you want

just the x-value or if you

should go on to find the

y-value.