Find the intersection of the function
With the Y
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Find the intersection of the function
With the Y
To find the intersection of the function with the y-axis, we follow these steps:
Step 1: Identify the known function and approach the problem by setting since we are looking for the intersection with the y-axis.
Step 2: Substitute into the equation .
Step 3: Perform the calculation to find .
Now, execute these steps:
Step 1: We are given the function .
Step 2: Substitute into the equation:
Step 3: Simplify the expression:
The point of intersection with the y-axis is therefore .
Thus, the solution to the problem is .
Find the intersection of the function
\( y=(x+4)^2 \)
With the Y
The y-axis is where x = 0 on the coordinate plane. Any point on the y-axis has coordinates (0, something), so we substitute x = 0 to find that 'something'!
Y-intercept: Set x = 0, get point (0, y). X-intercept: Set y = 0, get point (x, 0). Don't mix these up - they're completely different!
That would be an x-intercept! The number -6 appears in the function , but it doesn't directly give us coordinates. We must calculate by substituting x = 0.
Think about the axis name: Y-intercept means the graph crosses the Y-axis. The Y-axis is where X = 0, so set x = 0 to find it!
No! Every function can have at most one y-intercept because there's only one point where x = 0. However, quadratics can have 0, 1, or 2 x-intercepts.
That's totally fine! Y-intercepts can be positive, negative, or zero. A negative y-value just means the graph crosses the y-axis below the x-axis.
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