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1 year ago

Graph the line with slope −1/2 and y-intercept −5.

Mathematics

1 answer:

Allushta [10]1 year ago

5 0

First, we can write the equation of the line using the information provided:

$\begin{gathered} y=mx+b \\ where: \\ m=slope=-\frac{1}{2} \\ b=y-intercept=-5 \\ so: \\ y=-\frac{1}{2}x-5 \end{gathered}$

Now, we can create a table:

Finally, we can graph the line:

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Which function is a quadratic function? u(x) = –x 3x2 – 8 v(x) = 2x2 8x3 9x y(x) = x2 3x5 4 z(x) = 7x2 2x3 – 3.

Komok [63]

The function $u(x)=-x+3x^{2} -8$ is a quadratic function due to the highest exponent being 2.

Given functions are:

$u(x)=-x+3x^{2} -8$

$v(x)=2x^{2} +8x^3+9x$

$y(x)=x^{2} +3x^5+4$

$z(x) =7x^{2} +2x^3-3$

<h3>What is a quadratic function?</h3>

A function of the form $f(x)=ax^{2} +bx+c$ with $a\neq 0$ is called a quadratic function means the highest exponent of polynomial should be 2.

Let us check one by one.

$u(x)=-x+3x^{2} -8$

Highest exponent =2

The function is also of form $f(x)=ax^{2} +bx+c$ so u(x) is a quadratic function.

The functions v(x), y(x), and z(x) are having highest exponents as 3,5, and 3 respectively so they are not quadratic functions.

Hence, the function $u(x)=-x+3x^{2} -8$ is a quadratic function due to the highest exponent being 2.

To get more about quadratic functions visit:

brainly.com/question/1214333

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2 years ago

Which equation represents the graphed function?

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Read 2 more answers

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