Gerald graphs the function f(x) = (x – 3)2 – 1. Which statements are true about the graph? Select three options.

Mathematics

1 answer:

Phoenix [80]3 years ago

6 0

Answer:

The answer is "Choice B, C, and F is correct".

Step-by-step explanation:

The following are choices, which is missing in the question, that can be defined as follows:

A) {x| x ≥ 3} is the domain.

B) The set shall be {y| y ≥ –1}.

C) over the interval (–∞, 3), is the function, that decreases.

D) it's over the duration the function increases its value, that is (–1, ∞).

E) The symmetry axis will be x = – 1.

F) vertex is (3, – 1).

In choice A, It is incorrect even though f is the domain, which is all true numbers because it has a quadrant function.
In choice B, it is correct.
In choice C, It is valid because it was a parable open with vertex so if we exploded view f (3, -1). Because as value opens up, its value with x from-∞ to 3 drops while it goes up from increasing from 3 to ∞.
In choice D, It is wrong since we have just said f decreases from-∞ to 3. Therefore, f decreases from -1 to 3, too. Therefore, f doesn't grow from -1 to ∞.
In choice E, It is incorrect because the symmetry axis is x = 3.
In choice F, it is true.

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Phoenix [80]

Answer is D
(1.5,3)

Explanation:

Substitute

1) 3-2(1.5)=0

So 0=0

2) 3=8(1.5)-9

So 3=3

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3 years ago

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Kitty [74]

Answer:

He can make 3 batches of soup.

Step-by-step explanation:

Starting with 10 pounds of tomatoes and taking out the number of pounds he sets aside for spaghetti sauce, 2.8, we have:

10-2.8 = 7.2 pounds left.

0.2 is read as "two tenths," so 7.2 = 7 2/10

We divide this remaining number of pounds by 2 2/5 for each batch of soup:

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3 years ago

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Irina18 [472]

You have the correct answer. Nice work. If you need to see the steps, then see below

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First we need to find the midpoint of H and I
The x coordinates of the two points are -4 and 2. They add to -4+2 = -2 and then cut that in half to get -1

Do the same for the y coordinates: 2+4 = 6 which cuts in half to get 3

So the midpoint of H and I is (-1,3). The perpendicular bisector will go through this midpoint

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Now we must find the slope of segment HI

H = (-4,2) = (x1,y1)
I = (2,4) = (x2,y2)
m = (y2 - y1)/(x2 - x1)
m = (4 - 2)/(2 - (-4))
m = (4 - 2)/(2 + 4)
m = 2/6
m = 1/3
Flip the fraction to get 1/3 ---> 3/1 = 3
Then flip the sign: +3 ----> -3

So the slope of the perpendicular bisector is -3

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

Use m = -3 which is the slope we found
and (x,y) = (-1,3), which is the midpoint found earlier
to get the following
y = mx+b
3 = -3*(-1)+b
3 = 3+b
3-3 = 3+b-3
0 = b
b = 0

So if m = -3 and b = 0, then y = mx+b turns into y = -3x+0 and it simplifies to y = -3x

So that confirms you have the right answer. I've also used GeoGebra to help confirm the answer (see attached)