Finding The Y Intercepts Of A Parabola - MyQBook

Home » How To Find The Y Intercept Of A Parabola » Finding The Y Intercepts Of A Parabola - MyQBook

Maybe your like

myQBook
  • Home
  • |
  • Programs
    • Number Sense
    • UIL Mathematics
    • Math Enrichment Program
  • |
  • Testimonials
  • |
  • Pricing
  • |
  • Insights
Welcome
High School y-intercept(s) of a parabola:

The y-intercepts of a parabola are the points or point where the parabola meets the y-axis or the points where x = 0 as shown in the figures below.

So if the equation of the parabola is in the general form y = ax2 + bx + c, then it is easy to see that when x = 0, y = c. So the y intercept of a parabola in the form y = ax2 + bx + c is c. To find the y-intercept of a parabola follow the steps below:
  1. First substitute x = 0 in the given equation of the parabola.
  2. Now find the value/s of y from the above equation.
  3. Then represent the value/s in the coordinate form (0, y).
For example: say you need to find the y-intercept of the parabola y = 2x2 – 3x + 4.
  1. First substitute x = 0 in the given equation of the parabola: y = 2 x 0 – 3 x 0 + 4.
  2. Now find the value/s of y from the above equation: y = 0 – 0 + 4 = 4.
  3. Then represent the value/s in the coordinate form (0, y): (0, 4). That’s your answer.
Let’s try another example: find the y-intercept of the function y = 3(x – 2)2 – 7.
  1. First substitute x = 0 in the given equation of the parabola: y = 3(0 – 2)2 – 7.
  2. Now find the value/s of y from the above equation: y = 3 x 4 – 7 = 12 – 7 = 5.
  3. Then represent the value/s in the coordinate form (0, y): (0, 5). That’s your answer.
Concept Statistics:
Concept contributor: myQBook Click here to rate this concept ★ ★ ★ ★ ★ Click here to send feedback on this concept
User ratings:
Not Rated
x- intercept(s) of parabolas Vertex of a parabola
Close
Please login with your myQBook Parent/Teacher account
User ID:
Password:
Close
Rate this concept:
Close
  • Home
  • |
  • Testimonials
  • |
  • Pricing
  • |
  • FAQ
  • |
  • Contact Us
 © 2025 - myQBook. All Rights Reserved.

Tag » How To Find The Y Intercept Of A Parabola