Vanessa throws a tennis ball in the air. the function h(t) = -16t2 + 45t + 7 represents the distance, in feet, that the ball is
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The y-intercept of a function is the point where the graph crosses the
- The factors of the Jared's graph are: (x - 10), (x + 3) and (x + 9)
- The y-intercept is -13.5
- The standard equation of the function is:
<u>(a) The factors</u>
First, we write out the points where the function cross the x-axis.
The points are:
Equate the above points to 0
Hence, the factors are: (x - 10), (x + 3) and (x + 9)
<u>(b) The y-intercept</u>
This is the point where the graph crosses the y-axis.
From the attached graph, the graph crosses the y-axis at -13.5.
Hence, the y-intercept is -13.5
<u>(c) The standard form</u>
In (a), we have:
Multiply the above equations
Expand
Expand
Collect like terms
Replace 0 with y
Hence, the standard form is:
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