Question

Sketch the graph of y = x squared + 2 x minus 15 using your graphing calculator. What are the x-intercepts of this graph?

a.
(-5, 0) and (3, 0)
c.
There are no x-intercepts
b.
(2, 0) and (-2, 0)
d.
(9, 0) and (-2, 0)

Answer 1

To sketch the graph of y = x² + 2x - 15 and find its x-intercepts, follow these steps using a graphing calculator.

Step-by-step explanation:

To sketch the graph of y = x² + 2x - 15 using a graphing calculator, follow these steps:

1. Turn on your graphing calculator and go to the graphing mode.
2. Enter the equation y = x² + 2x - 15 into the calculator.
3. Adjust the window settings or zoom in/out to get a clear view of the graph.
4. Plot the graph on the screen. You should see a parabola that opens upwards.

To find the x-intercepts of the graph, you need to locate the points where the graph intersects the x-axis, meaning the y-coordinate is equal to zero. By examining the graph or using the calculator's built-in features, you can determine that the x-intercepts of this graph are (-5, 0) and (3, 0).