Consider the function y=x^2+5x-2 . what would happen to the graph if (x + 5) was substituted in place of the x?

a. the graph would shift 5 units to the right.
b. the graph would shift down 5 units.
c. the graph would shift up 5 units.
d. the graph would shift 5 units to the left.
consider the function y=x^2+5x-2 . what would happen to the graph if (x + 5) was substituted in place of the x?

a. the graph would shift 5 units to the right.
b. the graph would shift down 5 units.
c. the graph would shift up 5 units.
d. the graph would shift 5 units to the left.

Option: D is the correct answer.

          D. The graph would shift 5 units to the left.

We know that the transformation of a function f(x) to f(x+a) is a shift of the function either to the left or to the right by a units depending on the sign of a i.e.  if a>0 then the shift is a units to the left

and if a<0 then the shift is a units to the right.

Here we have:

          is converted to:

Here we have a=5>0

            Hence, the shift is 5 units to the left.

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

12.5 feet

step-by-step explanation: