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lyudmila [28]
3 years ago
12

Given the function f(x) = x2 and k = -3, which of the following represents a vertical shift? (2 points)

Mathematics
1 answer:
lubasha [3.4K]3 years ago
8 0
Answer:
f(x) + k

Explanation:
Vertical shift is represented by adding/subtracting a constant from the original given equation.
If the constant added is +ve, this means that the curve is vertically shifted upwards
If the constant added is -ve, this means that the curve is vertically shifted downwards.

Now, for the given, we have the original function f(x) and the constant k, therefore, to shift the graph vertically, the new function would be f(x)+k
We have:
f(x) = x² and k = -3
This means that the new function would be:
x² - 3
Since the constant is -ve, we can conclude that the curve is shifted vertically downwards by 3 units

Hope this helps :)
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solve system by substitution method 3x+2y-z=23, y=8, -2y+4z=16 showing step by step this is algebra 2
Crazy boy [7]
X=5
Y=8
Z=8

3x+2y-z=23 --> z=-23+2y+3x
Y=8
Substitute for -2y+4z=16

-2(8)+4(-23+2(8)+3x)=16
-16-28+12x=16
-44+12x=16
12x=60
X=5

Substitute known y and x values into z=-23+2y+3x

Z=-23+2(8)+3(5)
Z=-23+16+15
Z=8
4 0
3 years ago
The probability of getting a head when a biased coin is tossed is 2/5. The coin is tossed three times. Find the following probab
NeTakaya

Answer:

<u>P(three tails) = 27/125 or 21.6%</u>

<u>P(two tails followed by one head) = 18/125 or 14.4%.</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the questions correctly:

Probability of getting a head when a biased coin is tossed = 2/5

therefore,

Probability of getting a tails when a biased coin is tossed = 3/5

2. Find the following probabilities and select the correct solution.

P(three tails) =

3/5 * 3/5 * 3/5 = 27/125 or 21.6%

P(two tails followed by one head) =

3/5 * 3/5 * 2/5 = 18/125 or 14.4%.

6 0
3 years ago
If f(x) = x^3 – 10x^2 + 29x – 30 and f(6) = 0, then find all<br> of the zeros of f(x) algebraically.
tino4ka555 [31]
Step 1: 1

(((x3) - (2•5x2)) + 29x) - 30 = 0

Step 2 2.1 x3-10x2+29x-30 is not a perfect cube

Step 3 Factoring: x3-10x2+29x-30

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 29x-30
Group 2: -10x2+x3

Pull out from each group separately :

Group 1: (29x-30) • (1)
Group 2: (x-10) • (x2)

7 0
2 years ago
I need help with these because recently we have been learning this and I don't get any of this.
Aleksandr-060686 [28]
It is upside down, can't see it properly!
5 0
3 years ago
What are the solutions of the system y=x^2+3x-4 y=2x+2
ra1l [238]
Hope this would help you

8 0
3 years ago
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