Question

Which function could be represented by the graph on the coordinate plane?

Answer 1

The answer is the 4th one. The native form of cuadratics is x^2, therefore its transformation is 8 units to the right and six down. -8 inside the parenthesis means it moves to the opposite of the x line, so if the graph was on the left side of y, the 8 would be positive.

Answer 2

Answer:

$f(x)=(x-8)^2-6$

Step-by-step explanation:

The given graph was obtained after a transformation of the parent function $y=x^2$.

The equation of the transformed function will now be in the form,

$f(x)=a(x-h)^2+k$, where $(h,k)$ is the vertex of the graph.

Since the vertex of the graph is now in the fourth quadrant, the coordinate will be in the form $(x,-y)$.

Based on the options given we can conclude that the vertex has coordinates $(8,-6)$ and $a=1$.

If we substitute these values in to the equation, we obtain, $f(x)=1(x-8)^2+-6$.

This simplifies to,

$f(x)=(x-8)^2-6$.

Hence the correct answer is D