Answer:
the correct answer is
g(x) = (x + 4)^2 + 5(x + 4) - 6
Step-by-step explanation:
i just did the test on ap3x, i hope this helped! have a blessed day :)
If the function f(x) = x² + 5x - 6 is shifted 4 units to the left to create g(x), then g(x) will be (x² + 13x + 30).
When a function f(x) is shifted to the left by 'a' units, then the argument inside the function will change. The new function or shifted function will be g(x) = f(x + a).
Given, the function f(x) = x² + 5x - 6.
Now, f(x) is shifted 4 units to the left to create g(x).
Therefore, h = -4.
Hence, g(x) = f(x + 4)
= (x + 4)² + 5(x + 4) - 6
= x² + 8x + 16 + 5x + 20 - 6
= x² + 13x + 30
Therefore, the left shifted function g(x) will be (x² + 13x + 30).
Learn more about shifting of a function here: https://brainly.com/question/14790939
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