Find the intersection of the function
With the Y
We have hundreds of course questions with personalized recommendations + Account 100% premium
Find the intersection of the function
With the Y
To find the intersection of the parabola with the y-axis, we set since any point on the y-axis has its x-coordinate as zero.
Step-by-step solution:
Therefore, the intersection point of the parabola with the y-axis is .
Accordingly, among the given choices, the correct choice for the intersection is .
Find the intersection of the function
\( y=(x-2)^2 \)
With the X
The y-axis is where x = 0 for every point! To find where any function crosses the y-axis, we substitute x = 0 and solve for the y-value.
(0,9) means x = 0, y = 9 (y-intercept). (9,0) means x = 9, y = 0 (x-intercept). Remember: (x-coordinate, y-coordinate) order matters!
Just substitute first: . No need to expand the binomial when you're plugging in a specific value!
No! Every function can only cross the y-axis once because there's only one point where x = 0. However, quadratics can have 0, 1, or 2 x-intercepts.
That's perfectly normal! The y-intercept can be positive, negative, or zero. It just tells you whether the parabola crosses above, below, or through the origin.
Get unlimited access to all 18 Parabola Families questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime