Question

WILL GIVE A BRAINLIEST!!

Answer 1

If the vertex is at the maximum point they dy/dx=0 at that point...

dA/dx=-2x+4

dB/dx=-2x+8

dC/dx=2x-4

dD/dx=2x-8

So both B and D have a zero velocity at x=4, but only B is equal to 3 when x=4

B. is the correct quadratic with the vertex at (4,3)

Answer 2

Answer:

B.

 $y=-x^{2} +8x-13$

Step-by-step explanation:

We know that the vertex of the parabola is

$V(4,3)$

That means this points is being intercept by the parabola. In other words, the function that represents this parabola has to have this relation, when $x=4$, $y=3$.

So, you can observe that the second choice has a function that follows this relation. Let's see

$y=-x^{2} +8x-13$

So, for $x=4$

$y=-(4)^{2} +8(4)-13\\y=-16+32-13\\y=3$

Therefore, function B is the answer because it includes the vertex at its relation.