To apply the changes to the equation of a vertical stretch of 4 and a translation of 3 units to the right, as well as the correct answer would be choice B.
The reason for this is when you apply a vertical stretch, because it changes the y-values (which causes it to vertically stretch or appear skinnier when graphed), you would multiply 4 to f(x) which would look like 4x^2.
Then, since you have a reflection over the x-axis, you must multiply a -1 to f(x) to reflect it over the x-axis which would result in -4x^2.
Finally, it also asks to shift the graph right 3 which by moving it right, you change the x values meaning you will perform f(x-3) to achieve this (subtract the value from x when you move right, and add the value to x when you move left).
This therefore results in your answer, the new graph would be
g(x)= -4(x-3)^2 or choice B.
Answer:
9
Step-by-step explanation:
if 54=1 then do 54÷6=9
Answer:
No solutions
Step-by-step explanation:
So putting that into an equation it equals
2k+8=(4k+14)÷2
Move the 2 to the other side.
2∙2k+8=4k+14
Simplify.
4k+8=4k+14
It doesn't make sense so No Solutions
Answer:
m= -1/2, (0,5), (10,0)
Step-by-step explanation:
Let us write it in slope intercept form, y=mx +b where m is the slope:
2x+4y=20
4y= -2x+20
y= -1/2x+5
Therefore, the slope is -1/2
The y intercept can be found when we substitue 0 as x.
y= -1/2*0 +5
y=0+5
y=5
(0,5)
The x intercept can be found when we substitute 0 as y.
0=-1/2x+5
-5 =-1/2x
x= 10
(10, 0)
<em>I hope this helped! :)</em>
Answer: 16.8mm2
Step-by-step explanation:
12x1.4=16.8