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3 years ago

How to identify the parent function given an equation ?

Mathematics

1 answer:

Anettt [7]3 years ago

8 0

Answer:

You can identify the parent function by making the equation into its simplest form.

Step-by-step explanation:

Remove all transformations from the equation (such as plus/minus signs, constants, and extra terms in the equation).

ex. y= -3x^2+15

The parent function would be y=x^2 after removing everything.

Hope this helps! :)

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PLLLLEEEEEEAAASSSSSSSSEEEE

mrs_skeptik [129]

Given:

Line a passes through (2, 10) and (4, 13).

Line b passes through (4, 9) and (6, 12).

Line c passes through (2, 10) and (4, 9).

To find:

Which of the lines, if any are perpendicular.

Solution:

If a line passes through two points, then the slope of line is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Line a passes through (2, 10) and (4, 13). So, slope of this line is

$m_a=\dfrac{13-10}{4-2}=\dfrac{3}{2}$

Line b passes through (4, 9) and (6, 12). So, slope of this line is

$m_b=\dfrac{12-9}{6-4}=\dfrac{3}{2}$

Line c passes through (2, 10) and (4,9). So, slope of this line is

$m_c=\dfrac{9-10}{4-2}=\dfrac{-1}{2}$

Product of slopes of to perpendicular lines is -1.

$m_a\cdot m_b=\dfrac{3}{2}\times \dfrac{3}{2}=\dfrac{9}{4}\neq -1$

$m_b\cdot m_c=\dfrac{3}{2}\times \dfrac{-1}{2}=\dfrac{-3}{4}\neq -1$

$m_a\cdot m_c=\dfrac{3}{2}\times \dfrac{-1}{2}=\dfrac{-3}{4}\neq -1$

Therefore, any of these lines are not perpendicular to each other.

8 0

3 years ago

Which of the following are true statements? Select all that apply.

Gennadij [26K]

Since sine and cosecant are reciprocals, when one has a maximum the other has a minimum and vice versa.

That's choices B & D

Not sure what the question at the end is asking; at 90 degrees and also at -90 degrees the values of sine and cosecant are equal.

3 0

3 years ago

Read 2 more answers

Penny received an unexpected $5,000.00 gift from a distant relative. She invests it in a mutual fund that increases the value of

dusya [7]

Answer:

Penny would need to put in ~ $18,181.82

Step-by-step explanation:

Using the equation $A = P(1+rt)$

Where A = the total

P is equal to the starting amount

r is equal to the rate (percent)

and t is equal to the total time.

We can put in:

A = $40,000

r = 0.08 (8%)

t = 15

$40,000 = P(1 +(0.08* 15))\\40,000 = P(1+1.2)\\40,000 = P(2.2)\\\frac{40,000}{2.2} = P\\ \frac{200,000}{11} = P\\P = $18181.8181818181...$

Round to the nearest whole cent

P = $18,181.82

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2 years ago

Antonio runs 5 3/4 miles a day. After 5 days, how many miles has he completed

soldi70 [24.7K]

Step-by-step explanation:

No of miles a day = 5.75 miles

No of miles after 5 days = 5.75 x 5 = 28.75 miles

4 0

2 years ago

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen

s344n2d4d5 [400]

From the first equation
6x - y = 1
6x - y - 1 = 0
6x - 1 = y

Substituting we get
4x - 3(6x - 1) = -11

5 0

2 years ago