Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the yy-intercept of the parabola y=x29y = x^2 - 9. \newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____

Full solution

Q. Find the yy-intercept of the parabola y=x29y = x^2 - 9. \newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____
  1. Find y-intercept: To find the y-intercept of the parabola, we need to determine the value of yy when x=0x = 0.
  2. Substitute x=0x=0: Substitute x=0x = 0 into the equation y=x29y = x^2 − 9.\newliney=(0)29y = (0)^2 − 9\newliney=09y = 0 − 9\newliney=9y = −9
  3. Identify y-intercept point: The y-intercept of the parabola is the point where the parabola crosses the y-axis, which is at y=9y = -9.

More problems from Characteristics of quadratic functions: equations