Answer:
y = 1/5 or y = 0.2
Step-by-step explanation:
How do i find parabola from a figure ( process )
1 answer:
Step-by-step explanation:
The graph of a quadratic equation in two variables (y = ax^2 + bx + c ) is called a parabola. The following graphs are two typical parabolas their x-intercepts are marked by red dots, their y-intercepts are marked by a pink dot, and the vertex of each parabola is marked by a green dot: (Given in attachment for diagram)
We say that the first parabola opens upwards (is a U shape) and the second parabola opens downwards (is an upside down U shape). In order to graph a parabola we need to find its intercepts, vertex, and which way it opens.
Given y = ax^2 + bx + c , we have to go through the following steps to find the points and shape of any parabola:
Label a, b, and c.
Decide the direction of the paraola:
If a > 0 (positive) then the parabola opens upward.
If a < 0 (negative) then the parabola opens downward.
Find the x-intercepts:
Notice that the x-intercepts of any graph are points on the x-axis and therefore have y-coordinate 0. We can find these points by plugging 0 in for y and solving the resulting quadratic equation (0 = ax^2 + bx + c). If the equation factors we can find the points easily, but we may have to use the quadratic formula in some cases. If the solutions are imaginary, that means that the parabola has no x-intercepts (is strictly above or below the x-axis and never crosses it). If the solutions are real, but irrational (radicals) then we need to approximate their values and plot them.
Find the y-intercept:
The y-intercept of any graph is a point on the y-axis and therefore has x-coordinate 0. We can use this fact to find the y-intercepts by simply plugging 0 for x in the original equation and simplifying. Notice that if we plug in 0 for x we get: y = a(0)2 + b(0) + c or y = c. So the y-intercept of any parabola is always at (0,c).
Find the vertex (h,k):
To find the x-coordinate for the vertex we use the following formula:
To find the y-coordinate for the vertex we plug in h in the original equation:
k = a(h)2 + b(h) + c
Plot the points and graph the parabola
<em><u>-Please Mark As Brainliest</u></em>
You might be interested in
Answer:
A = 0.2264
B =0.9681
C = 0.9891
Step-by-step explanation:
The concept of conditional probability is applied here, probability been the likelihood of an event occurring. two events A and B are said to be mutually exclusive is one event precludes the happening of the other event i.e one is dependent on the other one occurring.
Conditional probability on the other hand is the happening of an event taking into consideration that an event had already happened.
Let P(A) and P(B) be the probability of event and B occurring.
P(A and B) is the probability of both A and B = P(A) x P(B)
P(A or B) = is the probability of either A or b = P(A union B)
as such, P(A union B) = P(A) + P(B) - P(A and B).
The steps and appropriate explanation is as shown in the attached file.
