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otez555 [7]
3 years ago
7

the vertex of this parabola is at (4,-3). When the x-value is 5, the y-value is -6. what is the coefficient of the squared expre

ssion in the parabola's equation

Mathematics
1 answer:
kondaur [170]3 years ago
6 0

Answer:

Step-by-step explanation:

The work form of this upside down parabola is

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

It's VERY important that you remember that the negative value there in front of the absolute value of a just means that the parabola is upside down. a itself will not be negative (and we know that because of the absolute value symbols there!). Filling in the x, y, h, and k values we were given allows us to solve for the |a|:

-6=-|a|(5-4)^2-3 and

-6=-|a|(1)^2-3 and

-6=-|a|1-3 and

-6=-|a|(-2) and

3 = -|a|

Again, the negative simply tells us the parabola is upside down, so the absolute value of a = 3, choice c.

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