Q. Determine the value of y, if x is −9 .y=∣x∣−4Answer:
Substitute x in function: Substitute the value of x into the function.We are given the function y=∣x∣−4 and the value of x is −9. We need to substitute −9 for x in the function.y=∣−9∣−4
Evaluate absolute value: Evaluate the absolute value of x. The absolute value of −9 is 9 because the absolute value of a number is the distance from zero on the number line, which is always positive or zero. y=9−4
Perform subtraction: Perform the subtraction.Now we subtract 4 from 9 to find the value of y.y=9−4y=5
More problems from Transformations of absolute value functions: translations, reflections, and dilations