Question

Given the graph below, which of the following could be the quadratic equation?



A.
$3(x + 2 {)}^{2} + 5$
B.
$- {x}^{2} + 8x + 18$
C.
$- 2(x - 3 {)}^{2} + 1$
D.
${x}^{2} - 8x + 18$
Needs to be answered quickly​

Answer 1

Answer:

only D as the correct answer

Step-by-step explanation:

The correct quadratic could not be B or C, because the negative sign in each indicates that the parabola opens down, which is not what we see here.

A is not appropriate either, because of the (x + 2)^2; that + sign tells us that the vertex lies 2 units to the left of the y-axis.

This leaves only D as the correct answer.