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3 years ago

PLEASE HELP!! I’LL GIVE BRAINLY

Mathematics

1 answer:

LiRa [457]3 years ago

5 0

Being that the triangle has a center of dilation at (0,0) you must contract the points towards (0,0). The scale factor is 1/3 so you must divide the difference in location of the points on the X and Y axis by a scale of 1/3.

1/3 of 9 = 3 , y = 3

1/3 of -6 = -2 , x = -2

by changing these points a new triangle will be formed

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which statements are true about the graph of the function f(x) = 6x – 4 x2? check all that apply. the vertex form of the functio

Brut [27]

Answer:

The vertex of the function is the point $(-3,-13)$

The graph increase over the interval--------> (-3,∞)

Step-by-step explanation:

we have

$f(x)=6x-4+x^{2}$

1) Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)+4=x^{2}+6x$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)+4+9=x^{2}+6x+9$

$f(x)+13=x^{2}+6x+9$

Rewrite as perfect squares

$f(x)+13=(x+3)^{2}$

$f(x)=(x+3)^{2}-13$ -----> function in vertex form

2) Find the vertex

The vertex of the function is the point $(-3,-13)$

3) Find the axis of symmetry

we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

The x-coordinate of the vertex in this problem is equal to $x=-3$

therefore

the equation of the axis of symmetry is $x=-3$

4) Find the increase-decrease intervals

The graph increase over the interval--------> (-3,∞)

The graph decrease over the interval--------> (-∞,-3)

see the attached figure to better understand the problem

5) Find the x-intercepts of the function

we know that

the x-intercepts are the values of x when the value of the function is equal to zero

In this problem the x-intercepts are

$(-6.61,0)$ and $(0.61,0)$

The function cross the x-axis twice

see the attached figure

5 0

3 years ago

Read 2 more answers

Construct the perpendicular bisector of the following segments.

lyudmila [28]

Answer:

what segments

Step-by-step explanation:

7 0

3 years ago

T ✓ Х Find the sum of (x2 – 7x + 5) and (-3x2 - x + 10) [

Zanzabum

Answer:

-2x² - 8x + 15 = 0

Step-by-step explanation:

Given the following algebraic expression;

x² – 7x + 5

-3x² - x + 10

To add the equation together;

x² – 7x + 5 + (-3x² - x + 10) = 0

x² – 7x + 5 - 3x² - x + 10 = 0

Collecting like terms, we have;

(x² - 3x²) - (7x + x) + (5 + 10) = 0

-2x² - 8x + 15 = 0

8 0

2 years ago

How do you identify points on a graph i need a small answer and i need it quick lol thx

nata0808 [166]

You can identify points on a graph by looking at them. The x coordinate is the horizontal line. and the vertical line is the y axis

8 0

2 years ago

(-2,-11);slope=4 write the equation of the line

wolverine [178]

Answer: y = 4x-3

slope = 4, y intercept = -3

=================================================

m = 4 is the slope

$(x_1,y_1) = (-2,-11)$ is the point the line goes through

Using point slope form, we can say,

$y - y_1 = m(x - x_1)\\\\y - (-11) = 4(x - (-2))\\\\y + 11 = 4(x + 2)\\\\y + 11 = 4x + 8\\\\y + 11-11 = 4x + 8-11\\\\y = 4x - 3\\\\$

The equation is in slope intercept form y = mx+b

m = 4 = slope

b = -3 = y intercept

------------------------

As an alternative, you can use y = mx+b to get the same answer. We'll plug in m = 4 and (x,y) = (-2,-11) to solve for b

y = mx+b

-11 = 4(-2)+b

-11 = -8+b

-11+8 = -8+b+8

-3 = b

b = -3 we get the same y intercept value as above

------------------------

To check the answer, plug x = -2 into the equation. We should get y = -11

y = 4x-3

y = 4(-2)-3

y = -8-3

y = -11 we get the proper y value. The answer is confirmed.

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3 years ago

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