Question

Please answer fast needed as soon as possible

Answer 1

Answer:

Option B

Step-by-step explanation:

Equation of the graph,

f(x) = x²

If the graph is translated 5 units to the right,

g(x) = f(x - 5)

Therefore, g(x) = (x - 5)²

If the function 'g' is translated 3 units up,

h(x) = g(x) + 3

Therefore, h(x) = (x - 5)² + 3

If the function 'h' is vertically compressed by a factor of $\frac{2}{3}$,

Then the new function will be,

k(x) = $\frac{2}{3}(x-5)^2+3$

Option B will the correct option.