Answer:
Parent function: y = |x - 2| - 5
Domain: all real values
Range: [-5,inf)
x-intercept: x = -3 and x = 7
y-intercept: y = -3
Explanation:
The function that has the v-format is the function:
y = |x - a| - b
In which a is the point where the function "turns", and b is the value of y at this point.
In this question, the function turns at 2, with y = -5. So
y = |x - 2| - 5
The function is valid for all values of x, so the domain is all real values.
The function assumes values from -5 to infinite. So the range is [-5,inf)
The x-intercepts are the values of x when y = 0. So the x-intercepts are
x = -3 and x = 7
The y-intercept is the values of y when x = 0. So it is y = -3