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2 years ago

I need to know the equation of g(x)

Mathematics

1 answer:

Dafna1 [17]2 years ago

3 0

Answer:

$x^{2} -3$

Step-by-step explanation:

$a(x-b)^{2} +c$

The shifted down three units therefore c=-3

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Write an equation of the line that passes through (2,-4) and (0,-4)

Arte-miy333 [17]

y = mx + b

To find the slope(m), you use the slope formula:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

You plug in the points into the equation.

$m = \frac{-4 - (-4)}{0 - 2}$

$m = \frac{-4+4}{0-2} = \frac{0}{-2} =0$

The slope is 0

y = 0x + b

Any number multiplied by 0 is 0. So:

y = b

To find b, you plug in the y value of either of the points.

-4 = b

Your equation is:

y = -4 (This is a horizontal line)

5 0

3 years ago

Can anyone help me in this whole math question? Especially Number b and c. <br>Thanks.

Bogdan [553]

Answer:

Irregular polygons are polygons that do not have equal sides or equal angles. When finding the area of an irregular polygon, partition the polygon into smaller regular polygon shapes. You can then plug those measurements into their respective area formulas and multiply to find the area of one part of the shape.

This is 16cm.

5 0

2 years ago

Show 46/200 on the hundredths grid. then write the fractions as a demical

SSSSS [86.1K]

If we want to has 100 in the denominator we have to divide numerator and denominator by 2. Then total value of fraction doesnt change.
$\frac{46}{200}= \frac{46:2}{200:2}= \frac{23}{100}$
Now read the fraction, its 23 hundreds, now just write as decimal, so, 0.23

3 0

3 years ago

the vertex of this parabola is at (3,5). When the y-value is 6, the x-value is -1. What is the coefficient of the squared term i

otez555 [7]

Now, assuming is a vertical parabola, so the squared variable is the "x", let's do some checking.

$\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
vertex
\begin{cases}
h=3\\
k=5
\end{cases}\implies y=a(x-3)^2+5
\\\\\\
\textit{we also know that }
\begin{cases}
y=6\\
x=-1
\end{cases}\implies 6=a(-1-3)^2+5
\\\\\\
1=a(-4)^2\implies 1=16a\implies \cfrac{1}{16}=a$

6 0

2 years ago

Match the function to the correct parabola

Lisa [10]

Answer:

The box to the left will have the equation p(x) = 5x² and the box to the right will have the equation n(x) = $\frac{1}{5} x^{2}$

Step-by-step explanation:

The coefficient of the x² decides how wide or narrow a quadratic graph is. If the coefficient is a fraction of 1, the smaller the fraction the wider the graph gets. If the coefficient is a number bigger than 1, the bigger the number, the narrower the graph gets.

5 0

2 years ago