All categories

2 years ago

Which of the following steps were applied to abcd to obtain abcd

Mathematics

2 answers:

bulgar [2K]2 years ago

7 0

Answer:

Step-by-step explanation:

Move to the right 2 units,

Move down 2 units.

Damm [24]2 years ago

7 0

Answer:

Option (c) is correct.

Shift 2 units right and 3 units down.

Step-by-step explanation:

Given : A graph showing two quadrilaterals ABCD and A'B'C'D'

We have to choose the correct option from the given options that describes the steps applied to ABCD to obtain A'B'C'D'.

Translation is moving every coordinate of the image in same direction and in same distance.

Here, Coordinate of A is (3,5) and Coordinate of A' is (5,2)

Thus, To move A to A' we have shifted x coordinate 2 units to right and y coordinate 3 units down.

Similarly, we can check for each point

Consider Coordinate of B is (4,8) and Coordinate of B' is (6,5)

Thus, To move B to B' we have shifted x coordinate 2 units to right and y coordinate 3 units down.

Thus, The steps applied to ABCD to obtain A'B'C'D' is shifted x coordinate 2 units to right and y coordinate 3 units down.

You might be interested in

If there are 4 trucks for every 5 animals, then how many trucks would there be if there were 20 animals?

mel-nik [20]

There would be 16 trucks if there was 20 animals

7 0

2 years ago

Read 2 more answers

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

What should be your first step when subtracting integers?

iris [78.8K]

Your first step when subtracting integers is (d) subtract the numbers

<h3>How to determine the first step?</h3>

The operation is given as:

Subtraction operation

Assume that the operation is a simple expression that involves subtraction, such as:

a - b

The first step is to subtract the numbers

Hence, your first step when subtracting integers is (d) subtract the numbers