Question

ANSWER ASAP PLEASE

24
31
40
51
64
What is the equation of C(t)?
Oct) = -(x-4)²
Oct) = (x-4)²
Oct) = -x² + 4
Oc(t)=x²+4

Answer 1

Option 2

Explanation:

Hello!

In the table we are given a root of the equation, or the x-value that when plugged in will result in a y-value of 0.

We can plug in (4,0) into all equations and see which one has that point included.

• 0 = -(4 - 4)²
  0 = 0
• 0 = (4 - 4)²
  0 = 0
• 0 = -(4)² + 4
  0 ≠ -12
• 0 = 4² + 4
  0 ≠ 20

Only the first two equations accept the root (4,0).

Now if we take a look at the graph, we see that all y-values are positive. The only function between the two options is the 2nd one, as being squared will always result in a positive number.

The correct option is the 2nd function.