An example is the Golden ratio number. it goes on and on. an irrational number cannot be written as a fraction
Answer:
Yes
Step-by-step explanation:
Example
x+2 is a factor of 2x+4.
2(x+2) = 2x+4.
Answer:
f(-2) = -1
Step-by-step explanation:
f(x) = -x^2 + 3
f(-2) means when x is -2
Shown in the graph below, the point of solution is: (-2,-1), so when x is -2 y is -1
I'm not sure but it might be 14. I don't know what this is: ^
Answer:
C.g(x) = 5x²
Step-by-step explanation:
To find the equation for the function g(x), use the format for a quadratic equation. Without any up/down and left/right shifts, the form is y = ax².
Substituting "x" and "y" into the equation tells you if a point is on the graph.
"a" tells you the vertical stretch (greater than 1) or compression (greater than 0, less than 1).
In f(x) = x², a = 1 even though it's not written.
<u>Use the point (1, 5) on g(x) and substitute it</u> into the form for a quadratic function. Remember points are (x, y), so x = 1 and y = 5.
g(x) = ax²
y = ax² In function notation, g(x) replaces the "y". Switch it back to "y".
5 = a(1)² Substitute x = 1 and y = 5
5 = a(1) Solve the exponent first. (1)² = 1
5 = a When you multiply "a" by 1, the answer is just "a".
a = 5 Solved for "a". Put variable on left side for standard formatting.
With the quadratic form, substitute "a" into g(x).
y = ax²
g(x) = 5x²
