SOLUTION: 1. Find an equation for a quadratic function whose only x-intercept is (5,0). 2. Find the x-coordinate of the vertex of a parabola that contains the points (-2,7) and (9,7).

Question 629272: 1. Find an equation for a quadratic function whose only x-intercept is (5,0).
2. Find the x-coordinate of the vertex of a parabola that contains the points (-2,7) and (9,7). Can you find the coordinates of the vertex?
3. Find an equation for a quadratic function that has vertex (4,3) and opens up. How many x-intercepts will the graph of the function have?
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
1. or
2. Since the y-coordinates of (-2,7) and (9,7) are the same.
The x-coordinate of the vertex is equal to the average of x-coordinates of
(-2,7) and (9,7).
x-coordinate of vertex =
We can only find the x-coordinate of the vertex but not the y-coordinate because we need another point to find the y-coordinate.
3. The quadratic equation is , where .
There are no x-intercepts because the lowest point (4,3) is above the x-axis.
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