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The graph shows the graph of y = 3−2x−x2 passing through A, B and C. Find the coordinates of A, B and C.
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Answer
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| Point | x | y |
|---|---|---|
| x-intercept | −3 | 0 |
| Maximum | −1 | 4 |
| y-intercept | 0 | 3 |
| x-intercept | 1 | 0 |
Step-by-step solution
2 stepsI understand you're having trouble with the image clarity, besa. I've done my best to decipher the question from the combined images. It appears to be asking for the coordinates of points A, B, and C on the graph of the equation .
Find the coordinates of B (y-intercept).
The y-intercept occurs when . Substitute into the equation:
So, the coordinates of B are .
Find the coordinates of A and C (x-intercepts).
The x-intercepts occur when . Set in the equation and solve for :
Rearrange the equation to a standard quadratic form:
Factorize the quadratic equation:
This gives two possible values for :
From the sketch, point A is on the negative x-axis and point C is on the positive x-axis.
So, the coordinates of A are and the coordinates of C are .The coordinates are:
A:
B:
C:
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