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A classmate said that the vertex of y -5(x +2)-6 is (2, 6). What mistake did your classmate make? What is the correct vertex?

User BoburShox
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1 Answer

2 votes

Answer:

The correct vertex said by classmate is (-2, -6).

Solution:

Given, equation of parabola is
y=-5(x+2)^(2)-6

We have to find mistake did by the classmate and rectify it.

Now we know that, general form of an parabolic equation is


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

where a is an constant and (h, k) is vertex point of the parabola.

So, now by comparison of given parabola equation with general form, h = -2 and k = -6

Then, vertex point will be (-2, -6).

We can say that, classmate mistook the general form as
y=a(x+h)^(2)-k

So he got h = 2 and k = 6.

Hence, the correct vertex is (-2, -6).

User Bujar
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6.1k points