Answer:
is the resultant function after transformations.
Step-by-step explanation:
Parent function is given as:
(Graph 1 in attachments, it is a parabola)
Let us apply the transformations step by step:
<u>1. Shift 2 units to the right </u>i.e.
change the value of by 2.
The equation of a parabola can be: where is the point on x axis which is the axis of symmetry.
Right side means the equation becomes:
(Graph 2 in attachments)
<u>2. Reflect over x axis</u> i.e.
change the sign of y from + to -.
(Graph 3 in attachments)
3. <u>Shift downward 4 units </u> i.e.
Subtract 4 from the value of y:
(Graph 4 in attachments)
Change in x = 4
change in y = -10
halfway between
x 2
y -5
so -2,2
Answer:
An infinite number.
Step-by-step explanation:
There are many, many rational fractions between -6 and -5.
For example, take the numbers - 5 2/7 and - 5 4/7. there is another rational between these - 5 3/7.
Then we have another between - 5 2/7 and - 5 3/7 which is - 5 5/14, - and we could go on doing this all day and never coming to an end!!
Answer: x=4, x=3+4i and x=3-4i
Step-by-step explanation:
1. Factor to get (x-4)(x^2-6x+25)=0
2. zeroes are x=4, x=3+4i and x=3-4i