Given the graph of the function, where the vertex is the maximum point at (-5,4):
We can establish the quadratic function in vertex form:
g(x) = -(x + 5)^2 + 4
To find the value of g(-1):
Substitute -1 as the input of the function:
g(-1) = -(x + 5)^2 + 4
g(-1) = -(-1 + 5)^2 + 4
g(-1) = -(4)^2 + 4
g(-1) = -12
To find the value of g(-3):
Substitute -3 as the input of the function:
g(-3) = -(x + 5)^2 + 4
g(-3) = -(-3+ 5)^2 + 4
g(-3) = 0
To find the value of x when g(x) = 4:
Since your vertex is (-5, 4), in which the y-coordinate is 4, then its x-coordinate is -5.
Therefore, the value of x when g(x) = 4 is -5.
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