Maths-
General
Easy
Question
Write a function in vertex form for the parabola shown below :
Hint:
The vertex form of a quadratic function is
f(x) = a(x – h)2 + k
Where a, h, and k are constants. Here, h represents horizontal translation, a represents vertical translation and (h,k) is the vertex of the parabola. Also, a represents the Vertical stretch/shrink of the parabola and if a is negative, then the graph is reflected over the x-axis.
The correct answer is: Hence, the vertex form of the given parabola is y = 2(x+1)2 - 3
Let’s say that the equation of the parabola is y = a(x – h)2 + k
As we can see from the figure that the vertex of the parabola is (-1,-3). So, h = -1 and k = -3
y = a(x + 1)2 - 3
We can also coordinate on the parabola i.e. (0,-1) which will help us to find a
-1 = a(0+1)2 - 3
-1 = a -3
a = 2
So, the equation becomes y = 2(x+1)2 - 3
Final Answer:
Hence, the vertex form of the given parabola is y = 2(x+1)2 - 3
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