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ValentinkaMS [17]
3 years ago
14

What are the coordinates of the vertex of the function f(x)=x^2+10x−3? (–5, –28) (–5, 28) (5, –28) (5, 28)

Mathematics
1 answer:
polet [3.4K]3 years ago
6 0

Answer:

(-5,-28)

Step-by-step explanation:

Given

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

Required

Find the coordinates of the vertex

Given that the function is a quadratic function;

The general form of a quadratic function is

f(x)= ax^2+bx +c

By comparison;

a = 1\ b = 10\ and\ c = -10

To calculate the coordinates of the vertex;

we start by calculating the x-coordinate;

x = \frac{-b}{2a}

Substitute 10 for b and 1 for a

x = \frac{-10}{2*1}

x = \frac{-10}{2}

x = -5

Substitute x = -5 in the given function;

y=x^2+10x - 3

y=(-5)^2+10*-5 - 3

y=25-50 - 3

y=-28

<em>Hence, the coordinates of the vertex is (-5,-28)</em>

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