Solve y-5x²=20: Finding Y-Axis Intersection Points

Question

At which points does the following function intersect the Y axis?

$y-5x^2=20$

00:00 Find the intersection point of the function with the Y-axis

00:03 At the intersection point with the X-axis, Y equals 0

00:08 Let's substitute X=0 in our equation and solve for the intersection point:

00:22 This is the value at the intersection point with the Y-axis

00:27 X = 0 as we substituted at the beginning

00:33 And this is the solution to the question

To determine where the function intersects the Y-axis, we will follow these steps:

Let's apply these steps in detail:

Step 1: The equation provided is:

$y - 5x^2 = 20$

Step 2: Since the function intersects the Y-axis when $x = 0$ , substitute $x = 0$ into the equation:

$y - 5(0)^2 = 20$

This simplifies to:

$y - 0 = 20$

Therefore, $y = 20$ .

Step 3: The point where the function intersects the Y-axis is

$(0, 20)$ .

Therefore, the function intersects the Y-axis at point $(0, 20)$ .

$(0,20)$