Give the slope of the graph and the unit rate

y=5/4 x

The slope is 5/4

Step-by-step explanation:

To solve this problem we need  to find the equation of the line, y=mx+b

We've been given a table with several points, so we can use two of them to perform our calculus.

To obtain the slope we need to use the equation of slopes:

Where (x1,y1) =(4,5) and (x2,y2)=(8,10)

m= (10-5)/(8-4)=5/4

To obtain b we can use the point (x2,y2)=(8,10) in the equation.

10=5/4 *8 +b

b=0

Hence our line has the following equation:

y=5/4 x

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