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3 years ago

if the parent function is 3 square root x, describe the translation of the function y=3 square root x-4 +3

2 answers:

8 0

You want to know what transformation maps $3 \sqrt{x}$ onto $3 \sqrt{x-4} +3$ .

Note $f(x)=3\sqrt{x}$ so $f(x-4)=3 \sqrt{x-4}$ so $f(x-4)+3= \sqrt{x-4}+3$ .

We just analyse the function to see the translations. f(x-4) corresponds to a horizontal translation 4 units in the positive x direction. f(x)+3 corresponds to a vertical translation 3 units in the positive y direction.

So overall, the parent function moves 4 units right and 3 units up. This is a translation by the vector $\left[\begin{array}{r}4&3\end{array}\right]$ .

Aleksandr-060686 [28]3 years ago

6 0

Answer:

Step-by-step explanation:

Four units to the rights and three units up from ^3 square x.

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Triangle IJK, with vertices I(3,-8), J(9,-7), and K(5,-4), is drawn inside a rectangle, as shown below. What is the area, in squ

MA_775_DIABLO [31]

Answer:

11 sq units

Step-by-step explanation:

(6×4) - ½(6×1 + 4×3 + 2×4)

= 24 - ½(6+12+8)

= 24 - ½(26)

= 24-13

= 11 sq units

4 0

3 years ago

N^2- n - 12 = (n + 3)(___)

Nat2105 [25]

Answer:

n^2 - n - 12 = (n+3)(n-4)

Step-by-step explanation:

3 times - 4 = -12 ( two numbers when multiplied = -12, when added=-1)

3 + -4 = -1

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2 years ago

PLEASE HELP! due tmr! 24 26 55 99

SVETLANKA909090 [29]

Answer:

99°

Step-by-step explanation:

Internal Angles of triangles ALWAYS add up to 180°

So, 180° is our total.

We can form an equation. x° + 55° + (4x - 5)° = 180°

We can remove the brackets to form; x° + 55° + 4x° - 5° = 180°

We can get rid of the like terms by either adding or subtracting them.

x° + 4x° + 55° - 5° = 180°

5x° + 50° = 180°

We can then subtract 50° from both sides.

5x° = 180° - 50°

5x° = 130°

We then make x the subject and divide both sides by 5°

x = 26

x was our unknown so where there is x we put 26

The angle on the far left is simply 26°

The other angle, (4x-5)° becomes (4(26) - 5)°

If you simplify that, you get (104-5)°

Hence the last angle was 99°

If you want to ensure that your answer is correct, simply add the angles. They should always add up to 180° if you're working with a triangle

55° + 26° + 99° = 180°

7 0

3 years ago

Read 2 more answers

the graph of h is the graph of f(x)=x^2 translated 4 units left and 7 units down. Write the function H in vertex form.

adoni [48]

Answer:

f(x)=a(x - h)2 + k

Much like a linear function, k works like b in the slope-intercept formula. Like where add or subtract b would determine where the line crosses, in the linear, k determines the vertex of the parabola. If you're going to go up 2, then you need to add 2.

The h determines the movement horizontally. what you put in h determines if it moves left or right. To adjust this, you need to find the number to make the parentheses equal 0 when x equals -2 (because moving the vertex point to the left means subtraction/negatives):

x - h = 0

-2 - h = 0

-h = 2

h = -2

So the function ends up looking like:

f(x)=a(x - (-2))2 + 2

Subtracting a negative cancels the signs out to make a positive:

f(x)=a(x + 2)2 + 2

Step-by-step explanation:

6 0

3 years ago

How to write a ratio as a decimal

Brums [2.3K]

Step-by-step explanation:

To do this, divide the numerator by the denominator. The result is the decimal form of the ratio. For example, convert 7:2 to a decimal value.

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3 years ago