When a function is being shifted to the left, all x values will be added by y units shifted. (The constant that comes with x is excluded, eg. 3x shifted by 2 units left, becomes 3(x+2) and not 3x+2.)

Likewise, when a function is being shifted to the right, all x values will be subtracted by y units shifted. (Constant rules applies as well.)

Given f(x) is shifted 3 units right,

the new function, g(x) becomes:

$g(x) = {(x - 3)}^{2} + 5(x - 3) - 1$

Therefore the answer is D in this case.

3 0

2 years ago

Write 15/20 in simplest form.<br> P.S. Please have a clear explanation for me to understand.

antiseptic1488 [7]

Answer:

15/20 in simplest form is 15/20

Step-by-step explanation:

you cant split it any other way, since if you divide by 2, it would be 7.5/10

6 0

3 years ago

Which graph represents the inequality x>6

serious [3.7K]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find the length of side AC.

Nat2105 [25]

Answer:

Step-by-step explanation:

because its a right angled triangle which should be 90 degrees so 90-45=45 so AC is 45 and AB is 45 so the triangle ACB is 90

7 0

3 years ago

Read 2 more answers