Question

PLEASE HELP WITH GRAPH LAST QUESTION I NEED ​

Answer 1

✩ 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

Answer 2

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

Step-by-step 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`