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3 years ago

13

Which is the graph of f(x) = x2 – 2x + 3?

1 answer:

BaLLatris [955]3 years ago

7 0

Answer:

Step-by-step explanation:

We cannot factor this function out which tells us that there are no zeros. The graph backs this up because we can see that there are none. The easiest way to graph this would start by plugging in points and making a table for yourself.

Lets start by plugging in -1.

(-1)^2-2(-1)+3 =6, this means we have a point at (-1,6).

Now lets plug in 0.

(0)^2-2(0)+3= 3 (0,3)

For plugging in 1

(1)^2-2(1)+3=2 (1,2) (this happens to be the vertex)

And lastly lets plug in 2

(2)^2-2(2)+3=3 (2,3)

Depending on how many points are needed, keep plugging in numbers like we did above.

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Can Somebody Please Help With This?

Alexandra [31]

Answer:

see below

Step-by-step explanation:

A multiplier on the function value moves its y-coordinate farther from the x-axis by that multiplier value. It is the stretch factor. Stretch factors less than 1 cause the graph to be compressed vertically.

__

A multiplier on the independent variable means it doesn't need to be as large to give the same function value. That is, multiplication of x by a factor of k compresses the graph horizontally by that factor of k. Equivalently, it does a horizontal stretch by a factor of 1/k.

5 0

3 years ago

The midpoint of AB is M (2,0). If the coordinates of A are, (-3, 3), what are the coordinates of B?

gregori [183]

Given:

M is the midpoint of AB.

M(2,0) and A(-3, 3).

To find:

The coordinates of point B.

Solution:

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get

$(2,0)=\left(\dfrac{-3+a}{2},\dfrac{3+b}{2}\right)$

On comparing both sides, we get

$\dfrac{-3+a}{2}=2$

$-3+a=2\times 2$

$a=4+3$

$a=7$

And,

$\dfrac{3+b}{2}=0$

$3+b=0$

$3+b-3=0-3$

$b=-3$

Therefore, the coordinates of point B are (7,-3).

5 0

2 years ago

Find the value of x.<br> 75°<br> 3x°<br> X =<br> degrees

kipiarov [429]

Explanation:
Sum of all angles= 180 degrees

So,
3x + 75= 180
3x= 180 - 75
3x= 105
x= 105/3
x= 35

Answer= 35 degrees

5 0

2 years ago

If √(0.09×0.09×x) = 0.09 × 0.09×√z, then the value of x/y is____.

OLEGan [10]

Given that-

√(0.09×0.09×x) = 0.09×0.09×√z

On squaring both sides then

⇛[√(0.09×0.09×x) ]² = (0.09×0.09×√z)²

⇛ 0.09×0.09×x= (0.09)²×(0.09)²×(√z)²

⇛ (0.09)² × x = (0.09)²×(0.09)²×z

⇛ (0.09)² × x/z = (0.09)²×(0.09)²

⇛x/z = (0.09)²×(0.09)²/(0.09)²

⇛x/z = (0.09)²

⇛x/z = 0.09×0.09

⇛x/z = 0.0081

<u>Answer</u><u>:</u><u>-</u> Hence the value of x/z will be 0.0081 r respectively.

3 0

3 years ago

Type the correct answer in each box.<br><br> The value of x is °, and the value of y is <br> °.

Solnce55 [7]

Answer:

<h2>x = 60°, y = 50°</h2>

Step-by-step explanation:

We know: the angles measures in a triangle add up to 180°.

<em>(look at the picture)</em>

z + 50 + 60 = 180

z + 110 = 180 <em>subtract 110 from both sides</em>

z = 70°

x + 50 + 70 = 180

x + 120 = 180 <em>subtract 120 from both sides</em>

x = 60°

Angles x, y and z are on one side of a straight line. Therefore they add to 180°.

x + y + z = 180

60 + y + 70 = 180

y + 130 = 180 <em>subtract 130 from both sides</em>

y = 50°

4 0

3 years ago