Question

The graphs below have the same shape.what is the equation of the blue graph?​

Answer 1

Answer: b

Step-by-step explanation:

Answer 2

Answer : The correct option is, (A) $g(x)=(x-4)^{2}$

Step-by-step explanation :

As we given that:

$f(x)=x^{2}$

The point of vertex of f(x) is (0, 0)

The point of vertex of g(x) is (4, 0)   [from the graph]

The rule of the translation is:

f(x) → g(x)

(x, y) → (x+4, y+0)

The equation of the function g(x) in the vertex form is:

$g(x)=(x-h)^{2}+k$

where,

(h, k) is the vertex

(h, k) = (4, 0)

Now put the vale of h and k, we get:

$g(x)=(x-4)^{2}+0$

$g(x)=(x-4)^{2}$

Therefore, the equation of the blue graph is, $g(x)=(x-4)^{2}$