Question

Which functions have a y-intercept that is greater than the y-intercept of the function g(x) = |x 3| 4? check three options. f(x) = –2 (x – 8)2 h(x) = –5 |x| 10 j(x) = –4(x 2)2 8

Answer 1

Using it's concept, it is found that the functions that have a greater y-intercept than g(x) = |x + 3| + 4 are given as follows:

• h(x) = -5|x| + 10.

• k(x) = 0.25(x - 4)² + 4.

• m(x) = 0.25|x - 8| + 6.

What is the y-intercept of a function?

It is the value of the function when the input is of zero, that is, f(0).

For g(x) = |x + 3| + 4, we have that g(0) = 7. As for the other functions, we have that:

• f(x) = -2(x - 8)² -> f(0) = -128.

• h(x) = -5|x| + 10 -> f(0) = 10 -> Greater than g(x).

• j(x) = -4(x + 2)² + 8 = f(0) = -8.

• k(x) = 0.25(x - 4)² + 4 -> f(0) = 8 -> Greater than g(x).

• m(x) = 0.25|x - 8| + 6 -> f(0) = 8 -> Greater than g(x).

More can be learned about the y-intercept of a function at https://brainly.com/question/24737967

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