Can you give me more detailes
Answer:
The 4th picture will be the correct one.
Step-by-step explanation:
The first picture shows the graph of f(x) and in the options there are pictures of graph of g(x) = f(x) -1
So, it is clear from the equation of the functions that the graph of f(x) and g(x) will be similar but the the y value in g(x) will be 1 less than the y value in f(x) corresponding to a certain x value.
So, the graph will translate down by 1 unit.
Therefore, the 4th picture will be the correct one.
The equation 2 has a graph which is a straight line.
Why?
We can know which of the given equations has a graph which is a straight line just checking the exponents of the variables.
We must remember that every variable that has an exponent equal or higher than 2 (quadratic) will not have a straight line as a graphic.
So, checking the exponents from the given equations, we have:
Hence, we can see that the only equation that has a linear term (straight line graph), is the second equation.
Have a nice day!
Note: I have attached a image for better understanding.
<u>2x - 3</u> = <u>2x - 4</u>
2 - x 1 - x
(2x - 3)(1 - x) = (2x - 4)(2 - x)
2x(1 - x) - 3(1 - x) = 2x(2 - x) - 4(2 - x)
2x(1) - 2x(x) - 3(1) + 3(x) = 2x(2) - 2x(x) - 4(2) + 4(x)
2x - 2x² - 3 + 3x = 4x - 2x² - 8 + 4x
-2x² + 2x - 3 + 3x = -2x² + 4x - 8 + 4x
-2x² + 2x + 3x - 3 = -2x² + 4x + 4x - 8
-2x² + 5x - 3 = -2x² + 8x - 8
<u>+ 2x² + 2x² </u>
5x - 3 = 8x - 8
<u> - 5x - 5x </u>
-3 = 3x - 8
<u>+ 8 + 8</u>
<u>-5</u> = <u>3x</u>
3 3
-1²/₃ = x
Answer:
its A
Step-by-step explanation:
