1/5 Alg2: Quadratics Lesson

7 Slides • 8 Questions

1

Introduction to Quadratics

The beauty of parabolas

2

What are quadratics?

Yesterday we took a sneak peak into what we will be talking about. A quadratic function is a special type of function in which the graph is always a parabola (the shape of the letter "u").

3

Learning Targets

I can identify a quadratic function in both equation and graph form.
I can identify the axis of symmetry and the vertex of a quadratic function.

4

(Go to Desmos to show transformations)

5

Poll

The general vertex form of a parabola is $f\left(x\right)=a\left(x-h\right)^2+k$ where

\left(h,\ k\right)

is the vertex of the parabola.

What is the vertex of the parabola defined by

f\left(x\right)=2\left(x-3\right)^2+4

?

(2, -3)

(3, 4)

(-3, 4)

(2, 4)

6

7

Multiple Choice

The general vertex form of a parabola is

f\left(x\right)=a\left(x-h\right)^2+k

where

\left(h,\ k\right)

is the vertex.

What is the vertex of the parabola defined by

f\left(x\right)=-\left(x-5\right)^2-3

1

(-1, 0)

2

(-5, 3)

3

(5, -3)

4

(-1, -3)

8

Multiple Choice

The general vertex form of a parabola is

f\left(x\right)=a\left(x-h\right)^2+k

where

\left(h,\ k\right)

is the vertex.

What is the vertex of the parabola defined by

f\left(x\right)=-9\left(x+4\right)^2-3

1

(-4, -3)

2

(4, 3)

3

(-9, 0)

4

(-1, -3)

9

Multiple Choice

The general vertex form of a parabola is

f\left(x\right)=a\left(x-h\right)^2+k

where

x=h

is the AXIS OF SYMMETRY.

What is the axis of symmetry of the parabola defined by

f\left(x\right)=-9\left(x+4\right)^2-3

1

$x=-4$

2

$x=4$

3

$x=-3$

4

$x=0$

10

Multiple Choice

What is the vertex, (h, k)?

1

(0, 0)

2

(1, 0)

3

(-1, 1)

4

(1, 1)

11

Multiple Choice

What is the axis of symmetry, $x=h$ ?

1

$x=0$

2

$x=-3$

3

$x=-1$

4

$x=-4$

12

Multiple Choice

What is the vertex, (h, k)?

1

(0, 0)

2

(0, -1)

3

(-1, 0)

4

(-1, -1)

13

Excellent work! Where do you see parabolas in your life? Think to yourself, then we'll answer on the next slide.

14

Open Ended

Where do you see parabolas in your life?

Type response here

15

Introduction to Quadratics

The beauty of parabolas

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