Select the function that has been shifted up by 2 and is less steep than the function f(x) = 3x-5
Answers
A - g (x) = 2x + 2
B - g (x) = 4x -3
C - g (x) = x - 3
D - g (x) = x - 7

As the function has been shifted up by 2 and is less steep than the function f(x) = 3x-5.

Thus, option C is true. i.e. g(x)=x-3

Step-by-step explanation:

Given the function

writing in the slope-intercept form

where m is the line and b is the y-intercept

To move a function up, we need to add outside the function.

means   moved up 'b' units.

So, by shifting up by 2 means f(x) would become g(x)= 3x-5+2 = 3x-3

But, we have to find the function which is less steep, meaning having a slope less than 3.

so, the best-suited function that has been shifted up by 2 and is less steep than the function f(x) = 3x-5 will be:

A graph is also attached.

As the function has been shifted up by 2 and is less steep than the function f(x) = 3x-5.

Thus, option C is true.

b i think

step-by-step explanation:

not really sure

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4