The function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)
<h3>How to determine the function?</h3>
For a function to have its vertex on the y-axis, then the coordinate of the vertex must be:
(h,k) = (0,y)
A quadratic function is represented as:
f(x) = (x - h)^2 + k
So, we have:
f(x) = (x - 0)^2 + k
Evaluate
f(x) = x^2 + k
From the list of options, we have:
f(x) = (x - 2)(x + 2)
Expand
f(x) = x^2 - 4
Hence, the function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)
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1) Simplified: k-6
Excluded Value: k=-10
2) Simplified: 4/k-8
Excluded Values: k=-4, k=8, k=4
3) Simplified: 10/9m
Excluded Values: m=0, m=-3
4) Simplified: a-3
Excluded Values: a=1, a=2, a=6
5) Simplified: 3/4
Excluded Value: y= 0
6) Simplified: 4-3x/2x
Excluded Values: X=0
The solutions of the equation are -12 and 16
Step-by-step explanation:
Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative, if IxI = a, where a > 0, then
∵ 2Ix - 2I - 8 = 20
- At first add 8 to both sides
∴ 2Ix - 2I = 28
- Then divide both sides by 2
∴ Ix - 2I = 14
Now By using the notes above equate x - 2 by 14 and -14
∵ x - 2 = 14
- Add 2 to both sides
∴ x = 16
∵ x - 2 = -14
- Add 2 to both sides
∴ x = -12
The solutions of the equation are -12 and 16
Learn more:
You can learn more about solving equations in brainly.com/question/2386054
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Answer:
5
Step-by-step explanation:
5*5*5 = 125.. hope this helped you.. Have a nice day..
