Big Ideas Math Algebra 1 A Bridge to Success
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Big Ideas Math Algebra 1 A Bridge to Success View details
1. Graphing f(x) = ax^36
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Exercise 23 Page 424

First, determine the quadrant in which the point lies.

Function f could include (-2, 3) when a=3/4.

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The point (- 2,3) should be in the second quadrant, since the x-coordinate of the point is negative and the y-coordinate of it is positive. Hence, the function f(x) could include the point.
Let's substitute the point into the function f(x)=ax^2.
f(x)=ax^2
3=a( - 2)^2
Solve for a
3=a(4)
3/4=a
a=3/4
The value of a is 34 when the graph passes through (- 2, 3).