Maths-
General
Easy
Question
How can the vertex form of a quadratic function help you sketch the graph of the function?
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: Lastly, we just need to draw a curve through all these three points
The vertex of the parabola is derived through the vertex form of a quadratic function. In the equation y = a(x−h)2+k, the point (h, k) is your vertex. It is either the highest or lowest point on your graph, and it is the first thing we need to graph. Secondly, we need to find the direction of the graph. If the value of “a” in the above equation is negative, then the equation opens downwards. If it is positive, then it opens upwards. Thirdly, we need to find the intercepts of the graph. If we plug in 0 for y in the equation above and solve for x, then we will find the coordinates of the two intercepts. These will give us additional points to complete your curve. Lastly, we just need to draw a curve through all these three points.
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How are the form and graph of f(x)= (x-h)2+k similar to the form and graph of f(x)=|x-h|+k? How are they different?
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Graph the function h(x)= -2(x+4)2+1
Graph the function h(x)= -2(x+4)2+1
Maths-General
