Graph the line with slope -1/3 and y-intercept-3.

The graph in the attached figure

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

where

m is the slope

b is the y-intercept

In this problem we have

substitute

To graph the line find out the intercepts

Find the y-intercept

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

The y-intercept is the point (0,-3) -----> is a given value

Find the x-intercept

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

The x-intercept is the point (-9,0)

Plot the intercepts and join the points to graph the line

see the attached figure

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

fd

step-by-step explanation: