An equation is a relationship whose primary use is solving for a value.
An equation makes use of the equality (=) sign.
An example of an equation is x + 6 = 46.
A function is a mathematical machine whose purpose is to transform input variables into output according to the function rule.
A function can be described by an equation, a graph, a program, a table, etc.
An example of a function is y = 2x - 5.
Answer:
y = 2x^2 is a parabola opening up with it's vertex at (0,0)... y=3x^2 -4 is also a parabola opening up, but it is 'thinner' in that it rises in y faster and it's vertex is at (0,-4)
Step-by-step explanation:
all equations of the type y = ax^2 + b are parabolas centered on the y-axis, soo the vertex is always on (0,b)
If a is positive then the parabola opens up,
the bigger a is, the 'thinner' the graph is, i.e. the faster the graph rises
the value of b determines the location of the vertex, if b is added, then the vertex rises over the x-axis, if b is subtracted then the vertex is below the x-axis
Answer:
C = -27x^2 - 30x + 25
Step-by-step explanation:
C = (3x - 5)^2 - 36x^2
~Use FOIL
C = 9x^2 -30x + 25 - 26x^2
~Simplify
C = -27x^2 - 30x + 25
Best of Luck!
Answer:
![\left[\begin{array}{cc}x&y&-2&-9&0&-1&2&7&4&15\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx%26y%26-2%26-9%260%26-1%262%267%264%2615%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Given
Required
Create a function table for inputs -2, 0, 2 and 4
When x = -2
When x = 0
When x = 2
When x = 4
So, the table is:
