What is the slope intercept equation of the line below

y=2x-3

Step-by-step explanation:

The slope-intercept form of a linear equation is y=mx+b where m is the slope and b is the y-intercept.

The y-intercept is where it crosses the y-axis.  It cross the y-axis in your picture at -3 so b=-3.

Now the slope=rise/run.  So starting at (0,-3) we need to find another point that crosses nicely on the cross-hairs and count the rise to and then the run to it.  So I see (1,-1) laying nicely.  So the rise is 2 and the run is 1.

If you don't like counting.  You could just use the slope formula since we already identified the two points as (-1,1) and (0,-3).

The way I like to use the formula is line up the points and subtract vertically then put 2nd difference over 1st difference.

(0,-3)

-(1,-1)

-1     -2

So the slope is -2/-1 or just 2.

We have that m is 2 and b is -3.

Plug them into y=mx+b and you are done.

y=2x-3.

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