Question
Asked Oct 8, 2019
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The graph of the function f(x) =ax+bx +c has its vertex at (0,2) and passes through the point (1,5). Find a,b, and c.

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Expert Answer

Step 1

Given that a standard equation of parabola and its vertex and a point that is lie n this parabola.

We need to find the a, b, & c.

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Step 2

We know that, vertex is lies on the parabola, so that it will satisfy the given equation.

Here we call f(x) as y.

So that, we put x = 0 & y = 2 in the given equation.

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Step 3

We know that, point (1,5) is also lies on this parabola.

So, it will satisfy the given ...

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Image Transcriptionclose

y axbxc 5 a(1)b()c 5 a b+c 5 a b+2 a+b 3

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Tagged in

Math

Calculus

Functions