C. Multiply 16 by 11
So it would be 146. (Just in case you would like to know that too<span>…</span>)
Answer:
D is the correct answer
Step-by-step explanation:
Since 5x and 4x+1 are both equal to y, we can set them equal to each other as shown below:
5x=4x+1
x=1
Plugging x=1 into y=5x gets us y=5(1)=5
So x=1 and y=5, which is also (1,5)
Hope this helped!
Answer:
1-3-9+4-5
Step-by-step explanation:
With this question, it is incredibly essential that you consider each transformation separately to prevent confusion.
First, the negative on the top of the fraction indicates that there is a reflection. This means that you will be filling in quadrants II and IV rather than I and III prior to the other transformations.
Dilation is indicated by the 3 in the numerator of the fraction and will actually affect the main points marked on the graph. For the parent function y= 1/x, the coordinate (1,1) is the main point in the first quadrant and the coordinate (-1,-1) is the main point in the third quadrant. When a dilation occurs, it dilates the x value for one of the coordinates and the y-value in the other. Since a reflection has also occurred, our initial points are (-1,1) and (1,-1) so the points in the second quadrant will be (-1,3) and (-3,1) as compared to the asymptotes (multiple translations have also occurred) and the points in the fourth quadrant will be (1,-3) and (3,-1) as compared to the asymptotes.
Lastly, let's consider translations: a horizontal translation involves the addition or subtraction of a number from x in the denominator of the fraction whereas a vertical translation involves the addition or subtraction of a number from (1/x), completely separate from the fraction. Therefore, the -2 is part of a horizontal translation and the +4 is part of a vertical translation. I always tell my students that the direction of the vertical translation(up or down) will be what you would assume, but the direction of the horizontal translation (right or left) will be the exact opposite of your assumption. For this reason, the -2 would indicate a shift to the right 2 units and the +4 would indicate a shift upwards 4 units. This would result in a shift of the vertical asymptote to the right 2 units and a shift in the horizontal asymptote upwards 4 units. The horizontal asymptote is written as y = 4 and the vertical is written as x=2
F(x) = (x + 3)^2
You can get this by seeing that there is a double root at x = -3 and an intercept at y = 9