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7.5c Identify_Complete Functions w/goal
Contributed by: Kutz

I will be able to identify linear, quadratic, and

cubic functions.

7AF 3.1

2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10

This is a graph of

 y = x - 2. The -2

indicates where the

line crosses the y axis.

The slope is positive.

Complete the equation

of the function.

 

y = x -

2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10

y = -x +3

y = x +3

 y = - x - 3 

y = x -3

Identify the function

The negative sign

gives the line a

negative slope

This is a graph of y = - x - 3

The - 3 means the line

will intersect the y axis

at negative 3

2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10

 y = x3 + 2

 y =  -x + 2

y = x - 2

y = - x2 + 2

Which function matches

 the graph?

2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10

Complete the equation

of the function.

 

y = 2x +

      3

With Cubic Functions the x3

indicates it is a positve

snake ( the top half of the

graph is in quadrant I)

This is a graph of

y = x3 - 1

 

The x3 indicates

a cubic function.

 

The - 1 shows

where the snake

intersects the

y axis

With Cubic Functions the -x3

indicates it is a negative

snake ( the top half of the

graph is in quadrant II)

This is a graph of

y = - x3 + 1

 

The - x3 indicates

a negative cubic

function.

 

The + 1 shows

where the snake

intersects the

y axis

2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10

Complete the equation

of the function.

y = x3 +
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10

Complete the equation

of the function.

y = x3 -
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10

Complete the equation

of the function.

y = x2 +
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10

This is a graph of the function y = -x2 + 3

The x2 indicates a Parabola (horseshoe)

The negative sign in front of the x makes

it a upside down  horseshoe

Complete the

equation.

y = - x2 +

This is a graph of the function y = -x3 + 2

The x3 indicates a Cubic function (a snake)

The negative sign in front of the x makes

it a negative snake similar to a line with 

negative slope.

y =        x

Complete the

equation.

+
 y = 3x + 2

y = x3 + 2

y = x2 + 2

y = 3x - 2

y = x2 + 2

y = - x3 + 2

y = 3x - 2

 y = x3 + 2

y = x2 + 2

y = x2 - 2

 y = - x2 + 2

y = 2x - 3

2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10

y = x2 + 4

y = x2 - 4

y = -x2 +4

y = -x2 -4

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