Question

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

Answer 1

Answer:

The correct option is C.

Step-by-step explanation:

The given function is

$f(x)=x^2$

It is given that both graph has same shape it means the equation of blue graph is in the form of

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

Where, (h,k) is the vertex of the parabola.

From the given graph it is noticed that vertex of blue parabola is (4,1), therefore the eqaution of parabola is

$g(x)=(x-4)^2+1$

Option C is correct.

Answer 2

The answer is c because when it's in parenthaces squared it's the opposite (which is the horizontal shift) and the plus 1 is the vertical shift