Which is the graph of the equation y-1=2/3(x-3)? PLEASE ANSWER ASAP

Mathematics

2 answers:

alexgriva [62]3 years ago

8 0

Answer:

Graph #1

Step-by-step explanation:

Compare your

y - 1 = (2/3)(x - 3) to

y - k = m(x - h). We see that k = 1 and h = 3.

Thus, (1, 3) is a point on the graph. This matches Graph #1.

Note: Graph #1 and Graph #3 appear to be the same. Why?

strojnjashka [21]3 years ago

7 0

<h2>Answer:</h2>

The graph of the equation is:

Graph 1

<h2>Step-by-step explanation:</h2>

The equation is given by:

$y-1=\dfrac{2}{3}\times (x-3)$

Now, we will see the point through which the graph passes through.

when x=3 we have:

$y-1=\dfrac{2}{3}\times (3-3)\\\\i.e.\\\\y-1=\dfrac{2}{3}\times 0\\\\i.e.\\\\y-1=0\\\\i.e.\\\\y=1$

i.e. the graph passes through (3,1)

and also when x= -3 we have:

$y-1=\dfrac{2}{3}\times (-3-3)\\\\i.e.\\\\y-1=\dfrac{2}{3}\times -6\\\\i.e.\\\\y-1=2\times -2\\\\i.e.\\\\y-1=-4\\\\i.e.\\\\y=-4+1\\\\i.e.\\\\y=-3$

i.e. the graph passes through (-3,-3)

The graph which satisfies these two points is: Graph 1

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Find the roots. 2x 2 + 7x - 15 =0

Reika [66]

So you always want to pull out the gcf first but since there isn't one, we can move on.
so we can make an acb chart which is multiplying the a value and the c value and find factors that of that product that will equal the b value.
a value is 2
c value is -15
b value is 7
-30 factors to equal 7 = 10, -3
10 - 3 = 7
so the factors 10 and -3 work.
so now you make 2 separate parenthesis with one of the factors and one x. and it should be set equal to 0.
(x+10)(x-3) = 0
now solve for x in each separate parenthesis.
x = -10
x = 3
those r the roots
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4 0

3 years ago

Read 2 more answers

PRE CALCULUS

Mumz [18]

Start with the parent function f(x) = x³

Notice the function f(x) = (x - 4)³ that a value '4' is subtracted from 'x' ⇒ This means the function f(x) is translated four units to the right.

Then the function f(x) = ¹/₂ (x - 4)³, the function (x - 4)³ is halved vertically ⇒ Half the y-coordinate

Then the function f(x) = ¹/₂ (x - 4)³ + 5 that a value '5' is added to ¹/₂ (x - 4)³ ⇒ This means the function f(x) is translated five units up

So the order of transformation that is happening to f(x) = x³ is translation four units to the right, half the y-coordinate, then translate 5 units up.