1. Suppose you wanted to graph the equation y=-4x - 1.
a. Describe the steps you would take to draw the graph.
b. How would you check that the graph you drew is correct?

Sowwy if im wrong

Step-by-step explanation:

You first graph the slope and y- intercept.

We know that the slope is -4 and the y - intercept is -1

We know this by the formula y = mx+b

x    y

0    -1

1    -5

To check if this is correct we find the pattern of the inputs and outputs

x = 0 + 1 = you added 1 its increasing

y = -1 -5 = -4 = you added -4 its decreasing

we then do rise/run = -4/1 = -4 ( rise is the y - intercept while as run is the x - intercept

we solve it into the formula

y = mx + b

y = -4x + b

y = -4x - 1

its -1 because the x intercept of 0 is paired with -1 of the y intercept

so the graph was correct

y = -4x -1

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2