The vertex is at the point (0,0) and the focus at the point (0, 1/8). This is given to us. Both the vertex and focus are separated by a vertical distance in the positive direction.
This means that the parabola opens upward. The vertex form of the equation for a parabola that opens upward is:
y = a(x - h)^2 + k, where the point
(h, k) is the vertex of the parabola.
Plug the vertex given into the above equation.
y = a(x - 0)^2 + 0
y = ax^2 + 0
y = ax^2
What is a?
Note: a = 1/(4f), where f is the distance from the vertex to the focus or simply as given in the focus point above 1/8.
Let f = 1/8
a = 1/4(1/8)
a = 1/(1/2)
a = 2
The equation we want is
y = 2x^2.
f(x) = 2x^2
Choice A is the answer.
Answer:
The answer is a 2 out of 6 chance
Step-by-step explanation: Take the letters a and u and add them together (2). Take it from the total number of letters (6) and there you go. Hope this helps
Answer:
12/49
Step-by-step explanation:
First write 2 1/3 as a improper fraction, to do that, first multiply the 2 by the denominator, then add it with the 1, which will result in 7/3
when doing division of fraction you have to remember this, KFG
KFG: Keep Flip Change
you keep the first number or fraction, which is 4/7
then you flip the sign, so you change division in to multiplication
after that, you change or write the reciprocal of the second number or fraction, so 7/3 will be 3/7
Now the equation is
4/7 times 3/7, which is 12/49
