Question

Question is below! There is also one more option, if you send me a file transfer I can send it!

Answer 1

Table B

Explanations:

According to the given question, we are to select the table that represents the curve of the function given as:

`y=-2(x+3)^2+4`

For the first table, when x = 0;

y = -2(0 + 3)² + 4

y = -2(3)²+4

y = -2(9) + 4

y = -18 + 4

y = -14

Since the corresponding y value at x = 0 is not equal to 13 as seen in the first table, hence the table A is incorrect

For the second table

When x = -2, we need to check if the resulting y value will be 2

`\begin{gathered} y=-2(-2+3)^2+4 \\ y=-2(1)^2+4 \\ y=-2+4=2 \end{gathered}`

For the second column when x = -1;

`\begin{gathered} y=-2(-1+3)^2+4 \\ y=-2(2)^2+4 \\ y=-2(4)+4 \\ y=-8+4=-4 \end{gathered}`

Since the corresponding y values tally for all the values of x, hence table B represents the given curve.