Transforming Linear Equations

What is the slope-intercept form of a linear equation?

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Which of the following equations would have the steepest slope?

• f(x) = x

• f(x) = -3x - 4

• f(x) = 4x + 6

• f(x) = -7.2x + 8.5

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which of the following equations would has the flattest (least steep) slope?

• f(x) = x

• f(x) = -.03x + 4

• f(x) = .5x + 6

• f(x) = -7.2x + 8.5

Tags

CCSS.8.EE.B.5

A line's y-intercept is changed from 10 to 4. Which way did it shift?

• up

• down

• left

• right

A line's y-intercept is changed from -1 to 0. Which way did it shift?

• up

• down

• left

• right

The slope is cut in half. What's the new equation?

• f(x) = 4x - 10

• f(x) = 8x - 20

• f(x) = 2x - 20

• f(x) = 4x - 20

The slope is doubled and it is shifted up 21 units.

What's the new equation?

• f(x) = 8x - 41

• f(x) = 8x +21

• f(x) = 8x +1

• f(x) = 12x - 28

What will happen to this function as compared to the parent function y=x + 1?

f\left(x\right)=4x+4

• Flips

• More Steep

• Shifts up 3

• Down 5

What will happen to this function as compared to the parent function f(x)= 2(x - 3) + 10?

• shifts left 3

• shifts right 3 

• Shifts up 3

• Shifts up 10