Answer:
f(0) = g(0)
Step-by-step explanations
if a function h(x) passes through [a,b] then it can be said that h(a)=b.
given that, g(x) passes through (-2,0) and (0,4)
so, g(-2)=0, g(0)=4.
f(x) passes through (0,4) and (2,0)
so, f(2)=0, f(0)=4.
therefore, f(0)=g(0)=4.
so, first option is correct.
Answer:
{a | always(true)}
Step-by-step explanation:
this means that this will always be true regardless of the value for a
The y-value of the vertex is positive 3, as shown by the +3 on the right hand side of the equation, and the x-value is -1, from the (x+1)^2 (remember, when the number is inside the brackets, flip the sign) The vertex would be (-1, 3)
If you are looking for a rigorous answer (calculus), we must find the mininum point of the equation: f(x) = (x+1)^2 + 3 f
f'(x) = 2(x+1) = 2x + 2
2x + 2 = 0
x = -1
f(1) = (-1 + 1)^2 + 3
f(1) = 0 + 3 = 3
(-1, 3)
The answer is 492.307
The number after the thousandths is 9 - greater than 5 - so we round 6 up to 7.
