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Katyanochek1 [597]
2 years ago
12

How to graph y = 2|x + 3| - 4

Mathematics
1 answer:
mr_godi [17]2 years ago
8 0

The x-intercepts and the y-intercepts of the function is that determines the graph is:

  • x-intercepts = (-5,0) and (-1,0)
  • y-intercepts = (0,2)

<h3>How do we graph the function y = f(x) of an absolute equation?</h3>

The function of an absolute equation can be graphed by determining the values of x-intercepts and the y-intercepts of the function.

From the given equation:

y = 2|x+3| - 4

To determine the y-intercepts, we need to set the values of x to zero, and vice versa for x-intercepts.

By doing so, the x-intercepts and the y-intercepts of the function is:

  • x-intercepts = (-5,0) and (-1,0)
  • y-intercepts = (0,2)

Therefore, since we know the x and y-intercepts, the graph of the absolute value can be seen as plotted below.

Learn more about determining the graph of an absolute equation here:

brainly.com/question/2166748

#SPJ1

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Can I get some help?​
ruslelena [56]

Answer:

y = 4x - 9

Step-by-step explanation:

The points on the graph we can see clearly are (1, -5) and (2, -1).

The equation of the line is in the form <u>slope-intercept</u>, where the general formula is y = mx + b.

We need to find "m", the slope of the line; and "b", the y-intercept.

Use the two points we found in the formula for calculating slope m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}.

Choose which is point 1 and point 2:

Point 1 (1, -5)    x₁ = 1   y₁ = -5

Point 2 (2, -1)   x₂ = 2  y₂ = -1

Substitute x₁, x₂, y₁, and y₂

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

m=\frac{-1-(-5)}{2-1}       Solve in the numerator and denominator

m=\frac{4}{1}        Simplify the fraction

m=4           Slope of the line

Find "b":

Substitute a point's "x" and "y" coordinates, and the slope, "m", into the general formula for slope-intercept.

I will use point 2:

x = 2; y = -1; m = 4

y = mx + b

-1 = (4)(2) + b         Multiply

-1 = 8 + b            Start isolating "b"

-1 - 8 = 8 - 8 + b            Subtract 8 from both sides

-1 - 8 = b           "b" is isolated

b = -9           Answer for "b", y-intercept.

The variable should be on the left side for standard formatting.

Take the general formula: y = mx + b

Replace "m" and "b" with the values we found.

y = 4x - 9

8 0
3 years ago
If trapezoid JKLM is translated according to the rule (x,y)—&gt; (x+2, y - 6), what are the coordinates of point L
guapka [62]

Answer:

<em> ( x, y) is translation '2' units right and '6' units down </em>

<em> (x ,y))—> (x +2 ,y-6)</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Type of transformation                            change to co-ordinate point

vertical translation up 'd' units                (x,y)  changes to  (x  , y+d)

<em>vertical translation down 'd' units          (x,y)  changes to  (x  , y-d)</em>

Horizontal translation left 'c' units          (x,y)  changes to  (x-c  , y)

Horizontal translation right 'c' units            (x,y)  changes to  (x+c  , y)

Now by use above table

given data  ( x, y) is translation '2' units right and '6' units down

(x ,y))—> (x +2 ,y-6)

<u><em>Final answer:-</em></u>

<em> ( x, y) is translation '2' units right and '6' units down </em>

<em> (x ,y))—> (x +2 ,y-6)</em>

3 0
3 years ago
During dance practice, Sasha drank 21⁄2 pints of water, and on the way home she drank 1⁄2 cup of water. How much water did she d
snow_tiger [21]

5 1/2 cups or 2 3/4 pints

4 0
3 years ago
I need help with this question
zavuch27 [327]

Answer:

The letter is m and is usually to the left of x

Step-by-step explanation:

i think the equation is y=mx+b

4 0
3 years ago
100 points!!! PLEASE ANSWER IT HOW I HAVE IT IN ORDER!!
Anvisha [2.4K]

Answer: Have a good day. I’m sorry you have to go through this, my head already hurts and I am just lōoking at it.

8 0
3 years ago
Read 2 more answers
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