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LekaFEV [45]
3 years ago
8

What are the coordinates of the vertex of the function f(x)=x2+10x−3? (–5, –28) (–5, 28) (5, –28) (5, 28)

Mathematics
2 answers:
d1i1m1o1n [39]3 years ago
6 0

Answer:

(-5,-28)

Step-by-step explanation:

Look at graph.

Hope this helps!

dsp733 years ago
6 0

Answer:

Option 1 - The vertex of the function is (h,k)=(-5,-28).

Step-by-step explanation:

Given : Function f(x)=x^2+10x-3

To find : What are the coordinates of the vertex of the function?

Solution :

We have to convert the quadratic function y=ax^2+bx+c  into vertex form y=a(x-h)^2+k where (h,k) are the vertex.

Function f(x)=x^2+10x-3

Applying completing the square i.e. add and subtract half square of b,

f(x)=x^2+10x+5^2-5^2-3

f(x)=(x+5)^2-25-3

f(x)=(x+5)^2-28

On comparing with vertex form,

h=-5 and k=-28

So, The vertex of the function is (h,k)=(-5,-28).

Therefore, Option 1 is correct.

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