Quadratic Functions

Presentation

•

Mathematics

•

10th - 12th Grade

•

Medium

•

CCSS

HSF-IF.C.7A, HSA.APR.A.1, HSF.IF.B.4

Standards-aligned

Diana Rodriguez

Used 397+ times

FREE Resource

7 Slides • 8 Questions

Quadratic Functions

Graphs of Quadratic Functions

Is called a parabola
If the coefficient of x² is positive, the parabola open upward
If the coefficient of x²is negative the parabola opens downward

Multiple Choice

What would be an example of a quadratic equation?

x+5

x³+2x²+5x-2

x²+3x-10

Fill in the Blanks

Type answer...

The vertex (or turning point) of the parabola is the lowest point on the graph when it opens upward and the highest when it opens downward.

Multiple Choice

is the lowest or highest point of the parabola

vertex

axis

equation

symmetry

Multiple Choice

Does this graph in the back have maximum or minimum value?

maximum

minimum

neither

both

The standard form of a quadratic equation

f(x)=a(x-h)²+k, where the vertex is (h,k)

If a is positive, the parabola open upward but if a is negative it opens downward

Multiple Choice

In the function f(x)=2(x+5)²-8, the parabola opens

upward

downward

Multiple Choice

In the function f(x)=-5(x+3)²-8, the parabola opens:

upward

downward

Finding the vertex of a parabola in standard form

In the function f(x)=(x+1)²-2, the vertex is (-1,-2)

*change the sign of h, k remains the same

In the function f(x)=-2(x-1)²+3, the vertex is (1,3)

change the sign of h
the sign of k remain the same

Multiple Choice

If given the equation
y = 3(x + 5)² - 4, what is the vertex of the parabola?

(5, -4)

(-5, -4)

(-15, -4)

(15, -4)

Multiple Choice

Identify the vertex and whether the graph opens up or down.

(-1, 4); opens up

(-1, 4); opens down

(1, 4); opens up

(1, 4); opens down

Quadratic Functions

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