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

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

$y-5x^2=20$

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

• Step 1: Identify the given equation $y - 5x^2 = 20$.
• Step 2: Set $x = 0$ to find the Y-intercept.
• Step 3: Solve for $y$ when $x = 0$.

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 $(0, 20)$.