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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.
What else can I help you with?
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?
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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.)
Which way does a parabola open when the coefficient of its x2 term a is a negative?
A parabola opens downward when the coefficient of its ( x^2 ) term (denoted as ( a )) is negative. This means that the vertex of the parabola is the highest point on the graph. Conversely, if ( a ) is positive, the parabola opens upward.
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.
