The graph shifts 5 units right and 3 units down.
The graph shifts 3 units left and 5 units up.
The graph shifts 5 units left and 3 units up.
The graph shifts 3 units right and 5 units down.
ANSWER
The graph shifts 5 units left and 3 units up.
EXPLANATION
The given functions are:
and
We want to transform f(x) so that, it coincide with the g(x).
The required transformation is
Let us see why this works.
The transformation f(x+5)+3 will shift f(x) 5 units left and 3 units up.
The third choice is correct.
Solution:
Given that equation is:
Roots are:
To find: value of x
The general quadratic equation is:
From given,
a = 1
b = -k
c = 28
Therefore,
Given roots are:
Therefore,
The two roots are two numbers whose difference is 3 and whose product is 28
Those two roots are 4 and 7 or -4 and -7
Then, sum of roots are:
4 + 7 = 11
-4 - 7 = -11
Therefore, the possible values of k are -11 and 11
Answer:
Step-by-step explanation: