Answer:
Step-by-step explanation:
If you plot these points on a coordinate plane, you see that they are on the same horizontal line, y = 7, with the focus 1 unit to the right of the vertex. This means that the parabola is a sideways opening parabola, to the right, to be more specific. That means that it has the basic vertex form
where p is the distance in units from the vertex to the focus, h is the first coordinate in the vertex, and k is the second coordinate in the vertex. For us, p = 1, h = 6, and k = 7. Now we will just fill the vertex form of the equation in with our values:
We will solve this for x now by dividing each side by 4 and adding over the 6:
Answer:
4. No they do not form a proportion. 5. Yes they do form a proportion
Step-by-step explanation:
4 is less than 7 and 24 is less than 35 so they make proportions.
7.50 is more than 3 and 5 is more than 2 so they do not make proportions.
Answer:
the a is c tthinck
Step-by-step explanation:
Answer:
f^-1 (x)=x^2-4x+1
Step-by-step explanation:
y=sqrt(x+3)+2
x=sqrt(y+3)+2
sqrt(y+3)=x-2
y+3=(x-2)^2
y+3=(x-2)(x-2)
y+3=x^2-2x-2x+4
y+3=x^2-4x+4
y=x^2-4x+4-3
y=x^2-4x+1
What is the midline equation of the function g(x)=3\sin(2x-1)+4g(x)=3sin(2x−1)+4g, (, x, ), equals, 3, sine, (, 2, x, minus, 1,
Aleksandr-060686 [28]
Answer:
Required equation of midline is x=4.
Step-by-step explanation:
Given function is,
In standerd form (1) can be written as,
where,
|a|= amplitude.
b= vertical shift.
c= horizontal shift.
Midline is the line which runs between maximum and minimum value.
In this problem,
a=3, b=2, c=-1, d=4
So amplitude a=3 and graph is shifted 4 units in positive y-axis.
Therefore,
Maximum value = d + a = 4 + 3 = 7
Minumum value = d - a = 4 - 3 = 1
Midline will be centered of the region (7, 1) that is at 4.
Hence equation of midline is x=4.
