Answer:
y = 6 sin(2x+π/2) +4
Step-by-step explanation:
Given:
-sinusoidal function
-maximum point at (0,10)
-intersects its midline at (π/4,4)
Build the function:
y = sin x , we start with this because is a sinusoidal function
y = sin (x+ π/2), to move the maximum on the y-axis where x= 0
y = sin (2x +π/2), to move the midline from π/2 to a π/4 we need
y = 4+ sin(2x+π/2) , to move the midline from (π/4, 0) to a (π/4, 4)
y = 4+ 6 sin(2x+π/2), to move the max at (0,10), -because the midline is at 4 and the function max at 10 we need 10-4 = 6
Answer:
is the simplest form of given expression.
Step-by-step explanation:
The given question is
To solve the problem we have to group or split middle term and then factorise
Taking common from first two terms of denominator and 2 from next two terms
Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms
Now cancel out x-1 from both numerator and denominator we get
is the required simplest form.
The slope-point form of a line:
The slope-intercept form of a line:
1.
Substitute
2.
Substitute
3.
4.