Question

PLEASE HELP WITH GRAPH LAST QUESTION I NEED ​

Answer 1

Answer:

$\sf g(x) = -1(x+3)^2 -2$

Explanation:

$\sf original \ graph: \ y=-x^{2}$

the graph is translated 3 units to the left and 2 units down.

vertex: (-3,-2) point: (-1,-6)

$\sf so \ new \ graph :$

$\sf y = a(x-h)^2 +k$

$\sf -6 = a(-1-(-3))^2 -2$

$\sf -6 = 4a -2$

$\sf 4a = -4$

$\sf a = -1$

$\sf equation:$

$\sf y = a(x-h)^2 +k$

$\sf y = -1(x+3)^2 -2$

Answer 2

✩ original graph: y = -x²

the graph is translated 3 units to the left and 2 units down.

✩ vertex: (-3,-2) point: (-1,-6)

$\large{{\bold{ \underline{ \underline{ \overline{ \overline{ \pink {so \: new \: graph :}}}}}}}}$

↠y = a (x - h)² + k

↠-6= a(-1-(-3))² - 2

↠-6 = 4a - 2

↠4a = -4

↠a = 1

$\large{{\bold{ \underline{ \underline{ \overline{ \overline{ \pink {equation :}}}}}}}}$

↠y = a (x - h)² + k

↠y = -1(x+3)² - 2