Answer:
y = 3x - 1
Step-by-step explanation:
Although the coordinate plane is not given, we don't need it to find the solution. We have given all the conditions enough for the solution.
The y-intercept is (-1) and the function passes through the point ( 1, 2 ).
Only the function y = 3x -1 matches these conditions.
We can observe the points in the attached graph.
Answer:
downwards
Step-by-step explanation:
the equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
• if a > 0 then parabola opens upwards
• if a < 0 then parabola opens downwards
for
f(x) = - 4(x - 3)² + 9 with a = - 4 < 0 , then
the parabola opens downwards
Remainder Theorem says that if there is any Polynomial equation P(x), which is to be divided by (x - a) then remainder can be calculated by substituting value of a in equation P(x).
= P(x) divided by
Step 1: Find a
To find a we will have to convert (x+2) into (x - a) form
i.e. (x+2) = (x - (-2))
therefore, a = -2
Step 2: Substitute value of a in P(x),
By substitution we get,
=
=
= = Remainder
Hence, Remainder is 55.