Respuesta :
Answer:
a) (1,3)
b) x=1
Step-by-step explanation:
The general form of a parabola in vertex form is f(x)=a(x-h)^2+k, where h is the x coordinate of the vertex, and k is the y coordinate, while a indicates how "squished" the graph is, or how quickly it grows in relation to the parent graph. In this case, h is shown to be 1, and k is 3, meaning that the vertex is at (1,3). The axis of symmetry , for a vertical parabola, just runs vertically through the vertex, meaning that in this case it is at x=1. Hope this helps!
Answer:
(1,3) and y-axis
Step-by-step explanation:
The vertex is the value of x at maximum or minimum point
At maximum point
dy/ dx = 0;
dy/dx = 4(x-1)= 0
=>x= 1 and is the vertex
Y when x = 1; we substitute x=1 in the original equation.
f(x) =y =2(x-1)^2+3
y = 2(1-1)^2 +3
y = 0 + 3= 3
The vertex is (1,3)
2.
A symmetrical equation is given by
b^2 = 4ac
Looking at the equation above x has an order of 2 meaning a possibility of cutting the x axis on two values of x
Hence the axis of symmetry is the y-axis
Assuming this was the expression; the axis of rotation would have been the x-axis.
f(y)=2(y-1)^2+3