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

Qual

ity C

ore

Prac

tice

Solvi

ng

Quad

ratic

Eq

uatio

ns

Prac

tice 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

: Fin

ding

a

Verte

x Al

gebr

aica

lly

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

Wor

ld!!!

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

: Us

ing

a Ve

rtex

to G

raph

a Q

uadr

atic

Func

tion

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

HOME

WOR

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.