Question

Joan was assigned to graph an absolute value function, but she forgot the function. However, she remembers the following the y-int is (0,-7), the vertex is (3,-1). Help Joan to rewrite the original equation that she was given.

Answer 1

f(x)= -2|x-3|-1

(Hi Simran! I just wanted to help you with this question though it might be wrong)

Explanation:

f(x) = a|x-h|+k

f(x)= a|x-3|-1

-7 = a |0-3| -1

-7 = a |-3| -1 <-- add to -7

-6 = a |-3|

-6 = 3a

-6/3 = a

-2 = a

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The equation of the absolute value is f(x)= -2|x-3|-1