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ioda
1 year ago
11

I need help with my math

Mathematics
1 answer:
natulia [17]1 year ago
6 0

The Slope of a Line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

The graph provided suggests the use of the points (3,-3) and (5,-3). The slope is:

\displaystyle m=\frac{-3+3}{5-3}=\frac{0}{2}=0

The slope of the line is 0. It corresponds to a horizontal line

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Answer:

The vertex of the quadratic function is:

(x_{v}, y_{v})=\left(-3,\:7\right)

Step-by-step explanation:

Given the function

f\left(x\right)=x^2+6x+16

As the vertex of the form y=ax^2+bx+c is defined as:

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

As the quadratic function of parabola params are

a=1,\:b=6,\:c=16

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Putting x_v=-3 to determine y_v

y_v=\left(-3\right)^2+6\left(-3\right)+16

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Therefore, the vertex of the quadratic function is:

(x_{v}, y_{v})=\left(-3,\:7\right)

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