If you horizontally shift the square root parent function, F(x) = x, left two units, what is the equation of the new function?
A. G(X) = x + 2
B. G(x) = (x+2
C. G(X) = -2
SUBMIT
O D. G(x) = X-2

D

Step-by-step explanation:

We can represent a function transformation by

this formula:

Where a is the vertical compression or shrink

B is the horizontal compression or shrink.

H is the horizontal shift

K is the vertical shift.

We are asked to shift the function horizontally 2 units so let H=2

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true