All categories

3 years ago

Which equation represents the transformed function below?

Mathematics

2 answers:

lora16 [44]3 years ago

5 0

Answer:

y = logx + 5 is the transformed function.

Step-by-step explanation:

We know the given graph is for f(x) = logx

Now a dotted figure shown is the transformed function of f(x) = logx

It is clear that the parent graph has been shifted upwards on the y-axis,

This shift is = 4 - (-1) = 5 units

Since it's vertical shift so this 5 unit will be added in the value of f(x).

To be more clear g(x) = f(x) + 5

g(x) = logx + 5

So the answer will be y = logx + 5 representing transformed function.

german3 years ago

3 0

Options would be nice, but the dotted line equation appears to be:
log(x) + 5,
A transformation of
log(x) , which is the equation for the solid line.

You might be interested in

Functions W and Z are both linear functions of x. Which statement comparing the functions is true?

Tpy6a [65]

Answer is in the file below

tinyurl.com/wpazsebu

8 0

3 years ago

a camera attached to a telescope photograph the Stars image once every 0.045 seconds how many complete images can the camera cap

RideAnS [48]

Answer:

0.135 images

Step-by-step explanation:

all you have to do is multiply 0.045× 3.

The answer is 0.135.

you have go move the decimals 3 times to the left

5 0

3 years ago

Which equation could be used to find the zeros of the function f(x) = 6x2-11x-10 = 0 ? (x+2)(x-5) = 0 (3x+2)(2x-5) = 0 (x-10)

Alex Ar [27]

Answer:

(3x+2)(2x-5) = 0

Step-by-step explanation:

In the multiple choice options, all of the answers are in factored form. Factored from for quadratic equations are used to find the zeroes, when you equate each factor to 0.

Remember quadratic equations are in the form ax² + bx + c = 0.

Factor 6x² - 11x - 10 = 0:

I will use the <u>cross factors or "X"</u> method.

Write out the factors for "a" and "c" vertically (see diagram 1).

Test a pair of factors from "a" and a pair of factors from "c". Cross multiply them and add their products. If the sum of their products is "b", you found the factors.

The value of "b" is -11.

Example 1: (diagram 2)

I will try if the highlighted pairs of factors work. Multiply the pairs diagonally, which gives me "1" and "-60". The sum of "1" and "-60" is -59.

-59 is not -11; this is not the pair we want.

Example 2: (diagram 3)

Try another pair. Multiply 2*5=10 and 3*-2= -6. Add them together; -6 + 10 = 4.

4 is not -11; this is also wrong.

Example 3: (diagram 4)

Multiply 2*2=4 and 3*-5= -15.

Add the answers: 4 + (-15) = -11.

-11 is "b". Keep these factor pairs.

Find the factors: (diagram 5)

The factors are found by reading across the top and the bottom. Include "x" with the first factor.

(2x-5)(3x+2) = 0 or (3x+2)(2x-5) = 0

4 0

3 years ago

Use the equation to answer the following question y=(x-3(x+2)/(x+4)(x-4)(x+2)

givi [52]

Answer:

See below

Step-by-step explanation:

The given rational function is;

$y=\frac{(x-3)(x+2)}{(x+4)(x-4)(x+2)}$

The given function is not continuous where the denominator is equal to zero.

$(x+4)(x-4)(x+2)=0$

The function is discontinuous at $x=-4,x=4,x=-2$

b) The point at x=-2 is a removable discontinuity(hole) because (x+2) is common to both the numerator and the denominator.

The point at x=-4 and x=4 are non-removable discontinuities(vertical asymptotes)

c) The equation of the vertical asymptotes are x=-4 and x=4

To find the equation of the horizontal asymptote, we take limit to infinity.

$\lim_{x\to \infty}\frac{(x-3)(x+2)}{(x+4)(x-4)(x+2)}=0$

The horizontal asymptote is y=0

8 0

3 years ago

Please help. What is the area of this?

Anni [7]

Answer:

212.5 m²

Explanation:

<u>Area of the figure</u>:

= area of the rectangle's + area of triangle's

= 6 × 9 + 7 × 4 + 1/2 × 13 × 7 + 1/2 × 10 × 17

= 85 + 54 + 45.5 + 28

= 212.5

5 0

3 years ago