Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the yy-intercept of the parabola y=x27x+8y = x^2 - 7x + 8. \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=x27x+8y = x^2 - 7x + 8. \newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____
  1. Evaluate Function at x=0x = 0: To find the y-intercept of the parabola, we need to evaluate the function y=x27x+8y = x^2 − 7x + 8 at x=0x = 0, because the y-intercept occurs where the graph of the function crosses the y-axis, and the x-coordinate is always 00 at the y-axis.\newlineCalculation: y(0)=(0)27(0)+8=00+8=8y(0) = (0)^2 − 7(0) + 8 = 0 − 0 + 8 = 8

More problems from Characteristics of quadratic functions: equations