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

Question

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

$y-5x^2=20$

00:08 Let's find where the graph crosses the Y-axis.

00:11 Remember, at the X-axis crossing, Y equals zero.

00:16 Let's plug in X equals zero into our equation and solve step by step.

00:30 This gives us the Y value at the crossing.

00:35 We used X equals zero from the start to find this.

00:41 And that's how we solve this problem!

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 $(0, 20)$ .

$(0,20)$