Question

Give the name of the parent function.

1. g(x) = x2-1 1 I
2. f(x) = 21x-
3. h(x) = x-2
4. g(x) = x+3
5. g(x)=1
6. f(x) = x+5-2

Answer 1

The parent function for the given options can be identified based on their form and behavior. Options g(x) = x^2 - 1 and g(x) = 1 correspond to quadratic and constant functions, respectively.

Step-by-step explanation:

The parent function for the given options can be identified by analyzing the equation's form and behavior.

1. g(x) = x^2 - 1: This is a quadratic function, which is a parent function.
2. f(x) = 2x - 3: This is a linear function, not a parent function.
3. h(x) = x - 2: This is a linear function, not a parent function.
4. g(x) = x + 3: This is a linear function, not a parent function.
5. g(x) = 1: This is a constant function, not a parent function.
6. f(x) = x + 5 - 2: This is a linear function, not a parent function.

Therefore, the options that correspond to parent functions are g(x) = x^2 - 1 (quadratic function) and g(x) = 1 (constant function).