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There are two (main) ways to graph this parabola.
The first is to simply substitute in values of x, find the corresponding y values and then plot those points and connect the points with a curve.
The second way is to 'complete the square' so that we can find where the maximum or minimum occurs and the y-intercept and graph from those two points. This is the process described below.
y = -x2 + 8x + 5
y = -(x2 - 8x) + 5
y = -(x2 - 8x + 16 - 16) + 5
y = -(x2 - 8x + 16) + 16 + 5
y = -(x-4)2 + 21
From this we can see that a maximum occurs at (4,21). To find the y-intercept, substitute in x=0, giving y=5.
From these two points, we get a pretty good idea of what the graph looks like. If you want more accuracy, substitute in more values of x.
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How do you graph a parabola?
y=x2+4x+1
How do you graph y equals x2?
The graph is a parabola facing (opening) upwards with the vertex at the origin.
What is the vertex of the parabola y equals x2 plus 8x plus 5?
The vertex has a minimum value of (-4, -11)
Is y equals x2 a function?
Y=X^2 is a function for it forms a parabola on a graph.
What is graph of the function y equals X2?
It looks like a parabola which looks like a U shape.
How do you graph a parabola?
y=x2+4x+1
What is the graph of y equals x2-7?
9
How do you graph y equals x2?
The graph is a parabola facing (opening) upwards with the vertex at the origin.
What is the vertex of the parabola y equals x2 plus 8x plus 5?
The vertex has a minimum value of (-4, -11)
Is y equals x2 a function?
Y=X^2 is a function for it forms a parabola on a graph.
What is graph of the function y equals X2?
It looks like a parabola which looks like a U shape.
Is a parabola a function?
Y = X2 ===== The graph of this parabola is crossed only at a point and once by a vertical line, so it is a function. Passes the vertical line test.
How do you graph a parabola on a TI-83 calculator?
Go to the y= button at the top left corner, right below the screen. Then, type in "x^2" or type X, then use the X2 button. Then, press Graph on the top right of the calculator. The y=x2 function is the most basic parabola.
How does the inequality symbol affect the graph of an inequality with two variables?
Instead of the answer being a curve, it is a region. For example, if y > x2 + 4, the answer is not the parabola y = x2 + 4. Instead it is the region above the parabola (as if the bowl were filled with something.)
How does the graph of y 4x2 compare to the graph of y x2?
Their noses are both at the origin, and they both open upward, but y=4x2 is a much skinnier parabola.
What is y equals x2 plus 2x plus 1 on a graph?
Interpreting that function as y=x2+2x+1, the graph of this function would be a parabola that opens upward. It would be equivalent to y=(x+1)2. Its vertex would be at (-1,0) and this vertex would be the parabola's only zero.
What is the name of a graph shaped a bit like a y-x2 parabola but on the way up its steeper than on the way down?
The cubic function is the name of graph that is steeper on the way up than on the way down. An absolute value function is a grpah that is shaped a bit like a y=x2 parabola.
