What is the right choice for question 5? http://postimage.org/image/ey13j7kcl/

Asked on by lkballer24

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sciencesolve | Teacher | (Level 3) Educator Emeritus

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You need to write the quadratic equation that is congruent to the function `y = 3x^2` , it opens down and it has a vertex at `(1,5)` .

You should know that two functions are congruent if they have the same attributes.

Hence, comparing the general form of quadratic function `y = ax^2 + bx + c`  to the congruent function `y = -3x^2` , yields that a = -3. Since the problem provides the information that parabola opens down, hence a needs to be negative.

You also know that if the vertex `V(h,k)`  of the parabola is given, you may write the vertex form of quadratic such that:

`y = a(x-h)^2 + k`

Hence, given the vertex `(1,5)`  and the coefficient `a = -3` , you may write the vertex form of parabola such that:

`y = -3(x - 1)^2 + 5`

Hence, evaluating the vertex form of parabola, under the given condition, yields `y = -3(x - 1)^2 + 5` , hence, the first option matches the best.

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