Question

Identify whether the graph y = x^2 + 5x - 6 intersects the x-axis only , y-axis only,both axes, no intersection

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Answer 1

There are intersections on BOTH axis

Explanation:

The question is asking for intercepts. To find an x-intercept, plug in 0 for y.

To find a y-intercept, plug in x for y.

Finding x-intercepts:

`0 = x^2 +5x -6\\0 = (x+6)(x-1)\\x = -6, 1`

Finding y-intercepts:

`y = 0^2+5(0)-6\\y=-6`