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What is the y-coordinate of the vertex of a parabola with the following equation y equals x2 - 8x plus 18?
You can work this out by taking the derivative of the equation, and solving for zero:
y = x2 - 8x + 18
y' = 2x - 8
0 = 2x - 8
x = 4
So the vertex occurs where x is equal to 4. You can then plug that back into the original equation to get the y-coordinate:
y = 42 - 8(4) + 18
y = 16 - 32 + 18
y = 2
So the vertex of the parabola occurs at the point (4, 2), leaving 2 as the answer to your question.
What else can I help you with?
An equation of a parabola that has x equals 2 as its axis of symmetry is?
How about y = (x - 2)2 = x2 - 4x + 4 ? That is the equation of a parabola whose axis of symmetry is the vertical line, x = 2. Its vertex is located at the point (2, 0).
What is the vertex of a parabola whose equation is y equals x 32?
The given equation is not that of a parabola since there are no powers of 2. Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals" etc. And using ^ to indicate powers (eg x-squared = x^2).
Where is the vertex coordinate of the parabola y equals x square -3x -10 located on the Cartesian plane?
7
Which of the following points does NOT lie on the graph of the following equation 5x plus 6y equals -3?
Since no points were given, for any point (x,y), plug the x and y values of the point into the equation. If you get a contradiction, ie 5=3 or something similar, then the point does not lie on the graph.
What is x squared minus 8x plus 8y plus 32 equals 0 in standard parabola form?
7
What is the parabola fo y equals 4-16y-11?
The equation does not represent that of a parabola.
What is Y equals x squared plus 1?
It is the equation of a parabola.
What is the parabola y equals -x2-3x plus 2?
It is the parabola such that the coordinates of each point on it satisfies the given equation.
Can you solve X2 plus Y equals 63?
No you can't. There is no unique solution for 'x' and 'y'. The equation describes a parabola, and every point on the parabola satisfies the equation.
What is the slope of a parabola of equation x equals cy2?
1/([*sqrt(cx)]
The position of an object starting from rest is described by the equation x equals 0.5at2 where x and t are measured variables Determine a based on the equation y equals mx plus b?
X equals 0.5at squared is a quadratic equation. It describes a parabola. Y equals mx plus b is a linear equation. It describes a line. You cannot describe a parabola with a linear equation.
What do you call of this equation x2 plus y-3 equals 0?
An equation of a parabola in the x-y plane, is one possibility.
What is the line of symmetry for the parabola whose equation is y equals x2 - 12x plus 7?
At: x = 6
What is the line of symmetry for the parabola whose equation is y equals x2 plus 10x plus 25?
When x = -5
An equation of a parabola that has x equals 2 as its axis of symmetry is?
How about y = (x - 2)2 = x2 - 4x + 4 ? That is the equation of a parabola whose axis of symmetry is the vertical line, x = 2. Its vertex is located at the point (2, 0).
What is the answer to y equals x2?
I'm guessing you mean y = x², which is the equation of a parabola. There is no one answer. Every point which lies on the parabola is the solution set to the equation. Some examples of points which satisfy this are: (0,0) (1,1) (2,4) (-3,9) (-5,25) and (½,¼)
Is the graph of y equals 4x2-2x plus 5 a straight ine?
The equation y = 4x^2 + 5 is a parabola
