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When the function below is graphed, how many x-intercepts does it have? y = 2x2 - 8x + 5

2 Answers

4 votes
It has two x-intercepts because the exponent of the equation is 2 and the graph crosses the x-axis twice
User Ivan Nikolov
by
7.5k points
3 votes

Answer:

2.

Explanation:

Please find the attachment.

We have been given a function formula
y=2x^2-8x+5. We are asked to determine the number of x-intercepts that our function could have by graphing.

Since our given function is a quadratic function, so it could have at-most two x-intercepts as it will cross x-axis at-most two times.

Upon looking at our attached graph we can see that our given function crosses x-axis at two points, therefore, our given function has two x-intercepts.

When the function below is graphed, how many x-intercepts does it have? y = 2x2 - 8x-example-1
User Renette
by
7.6k points