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td0715
16.04.2020 •
Mathematics
Pls help 4 pointz
the question is below
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Ответ:
Step-by-step explanation:
Simplifying
4x2 + -20 = 556
Reorder the terms:
-20 + 4x2 = 556
Solving
-20 + 4x2 = 556
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '20' to each side of the equation.
-20 + 20 + 4x2 = 556 + 20
Combine like terms: -20 + 20 = 0
0 + 4x2 = 556 + 20
4x2 = 556 + 20
Combine like terms: 556 + 20 = 576
4x2 = 576
Divide each side by '4'.
x2 = 144
Simplifying
x2 = 144
Take the square root of each side:
x = {-12, 12}
Ответ:
Here are all the steps, and what they do:
STEP 1: HORIZONTAL TRANSLATION
We transform
The general transformation is
These transformations translate the graph horizontally, k units to the left if k>0, k units to the right if k<0.
In this case, k = -1, so we translate the original graph 1 unit to the right.
STEP 2: VERTICAL STRETCH
We transform
The general transformation is
These transformations stretch the graph vertically. The graph expands if |k|>1, while it shrinks if 0<|k|<1. If k is negative, we also reflect the graph with respect to the x axis.
In this case, k = 3, so we stretch the graph vertically by a factor 3.
STEP 3: VERTICAL TRANSLATION
We transform
The general transformation is
These transformations translate the graph vertically, k units up if k>0, k units down if k<0.
In this case, k = 4, so we translate the graph 4 units up.
So, we start from the original graph of
and we:
Translate it 1 unit to the rightStretch it vertically by a factor 3Translate it 4 units up(the order is important!)
to get the graph of![g(x)=3(x-1)^2+4](/tpl/images/0225/8932/8e7ef.png)