Parabola is (6, 3). What is the vertex of the function defined as g(x) = f(x) + 3?

Mathematics

1 answer:

MrRissso [65]2 years ago

3 0

Answer:

Step-by-step explanation:

f(x) is a parabola with vertex (6,3). f(x) means the function is reflected about the y axis. That means the vertex will become (-6, 3) (the x-value gets multiplied by -1). Then adding 3 will move the vertex in the y-direction by +3 (add 3 to the y-value).

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Determine the number of solutions: 6x-2=x+13

Finger [1]

Answer: B) one solution

Reason: if we solve for the sides of the equation by putting like terms together we get that x = 3

There is no solution when the numbers don’t equal each other, take for instance 1 = 2

It has infinite solutions when the numbers are equal to each other like
1 = 1

It has one solution when the x value is equal to something like x = 9

I also worked out the equation on paper, so you could get a more visual way of how I solved it.

Hope this helps