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3 years ago

Need math help. Thanks in advance.

Mathematics

1 answer:

Mademuasel [1]3 years ago

7 0

9. D because it fits the description when it is graphed.
11. D because it has the correct vertex, which is (1.5, 4.75).
12. f(x)=-4(x-2)²+16 works with the table and provided graph!
13. 0 isn't a zero for f(x), so B is correct (the zeros are 1/2 and 4).
14. The width is about 3.831.
15. The answer is B because the equation for a parabola in this form is:
f(x) = (x - r₁)(x - r₂)

Every one of these except for 15 was solved using desmos, a graphing calculator.

Hope this helps!

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How to graph f(x)=(x-2)^2+3

iris [78.8K]

Using translation concepts, the graph of f(x) = (x - 2)² + 3 is given at the end of the question.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, we have that the parent and the translated function are given, respectively, by:

g(x) = x².

f(x) = (x - 2)² + 3.

The translations are as follows:

Right two units, as x -> x - 2.

Up 3 units, because f(x) = g(x) + 3.

Hence the graphs are given at the end of the answer, with the parent function in red and the translated function f(x) = (x - 2)² + 3 in green.

More can be learned about translation concepts at brainly.com/question/4521517

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2 years ago

PLEASE HELP ITS URGENT!!<br> Given: △ABC is isosceles; 1 ≅ 3<br> Prove: AB || CD

Dmitrij [34]

Answer:

AB ║ CD. (Proved)

Step-by-step explanation:

See the attached diagram of the triangle.

It is given that Δ ACD is an isosceles triangle.

Therefore, AC = AD and ∠ ACD = ∠ ADC, ⇒ ∠ 3 = ∠ 4 .......... (1)

Again, given that ∠ 1 = ∠ 3 ........... (2)

Now, from equations (1) and (2) we can write, ∠ 1 = ∠ 4

Now, AB and CD are two straight lines and AD is the transverse line and hence, ∠ 1 and ∠ 4 are alternate angles that are equal.

Therefore, AB and CD are parallel straight lines and AB ║ CD. (Proved)

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3 years ago

5(9-x)/3 +1 less than 11<br>find x

Lunna [17]

Answer:

x > $\frac{1}{5}$

Step-by-step explanation:

$\frac{5(9-x)}{3+1}$

Add 3 and 1 to get 4.

$\frac{5(9-x)}{4}$

Use the distributive property to multiply 5 by 9−x.

$\frac{45-5x}{4}$

Subtract 45/5 from both sides.

$-\frac{5}{4}x$

Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.

$-\frac{5}{4} x$

Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.

$x>-\frac{1}{4} (-\frac{4}{5} )$

Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.

$x>\frac{-(-4)}{4 x 5}$

$x>\frac{1}{5}$

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3 years ago

Dimetri says that a function that is made of terms where the variables is raised only to an odd power will be an odd function.Do

lana [24]

Here we want to study the relation between the exponents in a polynomial function and the "odd" property of functions.

We will see that Dimetri is correct.

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

We start by defining an odd function as a function such that:

f(-x) = -f(x).

Now, let's see a simple function with only odd exponents.

f(x) = a*x (the exponent is 1, so it is odd).

if we evaluate this in x = 1, we get:

f(1) = a

If we evaluate this in x = -1, we get:

f(-1) = a*-1 = -a

Then this is odd.

Now let's see a more general case and why Dimetri is correct.

For the rule of signs, when we multiply 2 negative numbers, the <u>product is positive.</u>

So always that we have an even exponent on a negative number, the outcome will be positive.

This does not happen for odd exponents, because we can't separate all the products in groups of 2, thus if we take the <u>odd exponent of a negative number, the outcome is negative</u>.

Then for functions with only odd exponents, the <u>outcome for evaluating the function in a given input is exactly the opposite of evaluating the same function with the opposite input</u>.

This means that the function is odd.

Again, note that this only happens if the function only has odd exponents.

If you want to learn more, you can read:

brainly.com/question/15775372

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2 years ago

Which of the following are corresponding angles ?

ANEK [815]

The answer is - C. R & W

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3 years ago