X^2-4x-17 is the same as 1x^2 + (-4)x + (-17)
It is in the form y = ax^2 + bx + c where
a = 1
b = -4
c = -17
To find the value of h, we use this formula
h = -b/(2a)
h = -(-4)/(2*(1))
h = 4/2
h = 2
Plug this back into the original function to find k
k = x^2-4x-17
k = (2)^2-4(2)-17
k = 4-8-17
k = -4-17
k = -21
So we know that a = 1, h = 2 and k = -21 making
y = a(x-h)^2 + k
turn into
y = 1(x-2)^2 - 21
which is now in vertex form. The vertex is (h,k) = (2,-21)
Answer:
25-5x=y
Step-by-step explanation:
Answer:
x+12 x-15 x-8 x-30 x+15
Step-by-step explanation:
The correct answer would be g(x).
Notice that g(x) has a greater slope than f(x), which would make the line, if it were to be graphed, steeper, which means it increases at a faster rate.
To prove that g(x) has a greater output, you can plug in values into x to see which equation has the greater output.
Let's start with the number 1:
2(1)+2=4
7(1)+1=8
Then you can try other numbers such as 10 to see if this trend continues:
2(10)+2=22
7(10)+1=71
As you have seen, g(x) appears to have the greater output.
Hope this helps!
Answer:
Step-by-step explanation:
yes
