Identify the vertex, complete the table and graph

foass77W
2021-02-13
Answered

Identify the vertex, complete the table and graph

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Layton

Answered 2021-02-14
Author has **89** answers

The vertex form of a quadratic equation is

Comparing

To complete the table, substitute values of xx on one side of the vertex into g(x) to find the corresponding y-coordinates:

x g(x)

Plot the vertex and the four points from your table. A quadratic is symmetric about its vertex so plot the mirror images of the four points on the other side of the vertex:

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Help with solution to 2 variable quadratic equation.

Could someone help with an explanation on how to treat the equation below, please? A solution I have read uses the discriminant to find the range i.e.

$9-20{y}^{2}-16y>{\textstyle \phantom{\rule{1em}{0ex}}}\text{or}{\textstyle \phantom{\rule{1em}{0ex}}}=0$ . To me this means treating the variable Y as a constant , is that "acceptable" ? does anyone have a reference for these equations ?

$y{x}^{2}+5y-3x+4=0$

rewrite as$y{x}^{2}-3x+(5y+4)=0$

Could someone help with an explanation on how to treat the equation below, please? A solution I have read uses the discriminant to find the range i.e.

rewrite as

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Finding sign of leading coefficient of a quadratic equation

In a given quadratic equation$f\left(x\right)=a{x}^{2}+bx+c$ if $f(-1)\succ 4,f\left(1\right)<0$ and $f\left(3\right)>5$ , then how can I find the sign of a? Answer in the textbook: $a>0$ .

In a given quadratic equation

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Given: (2,3), (4,6)

Find the slope.

Find the slope.

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The given inequalities are as follows.

y<3x

y>x−2

y<3x

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Find the values of x in terms of a in ${x}^{2}+\frac{{\left(ax\right)}^{2}}{{(x+a)}^{2}}=3{a}^{2}$

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Simplify the following expressions and write your answer using positive exponents.

$\left(3{x}^{-3}y\right)}^{2}{\left(2x{y}^{2}\right)}^{3$

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If $a$ is rational and $b$ is irrational number and we know that $ab$ is rational, then what can we say about $a/b$? Is true that it's equal to 0?