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.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

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step-by-step explanation:

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