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Is y equals x2 plus 1 a function?
Yes. Think of y as being a function of x. y = f(x) = x2 + 1
What are the points of intersection of the curves y equals x2 -7x plus 8 and y equals -x2 plus 9x -6 showing work?
If: y = x2-7x+8 and y = -x2+9x-6 Then: x2-7x+8 = -x2+9x-6 So: 2x2-16x+14 = 0 => x2-8x+7 = 0 Therefore: x = 1 and x = 7 By substitution: x =1, y = 2 and x = 7, y = 8 Points of intersection: (1, 2) and (7, 8)
What is the shape of the function y equals 16x plus x2?
(the shape is an upside down 'u').
The polynomial y equals x2 - 4x plus 4 has a repeated factor?
y = x2 - 4x + 4 can be factored into y = (x-2)(x-2) The repeated factor is 2.
Y equals x2 plus 8x plus 15?
y = x2 + 8x + 15 = (x + 3)(x + 5). When y = 0, one or other of the two factors must equal zero; that is, x = -3 or -5, when y = 0.
What is the range of y equals x2 plus 6x plus 11?
y ≥ 11
Y equals x2 plus 16x plus 59?
Y=(x+8)^2-5
Y equals x2 plus 3x plus 2?
is a quadratic equation for y, in terms of x.
What is the point of intersection of the parabolas y equals x2 plus 20x plus 100 and y equals x2 -20x plus 100 showing work?
If: y = x2+20x+100 and x2-20x+100 Then: x2+20x+100 = x2-20x+100 So: 40x = 0 => x = 0 When x = 0 then y = 100 Therefore point of intersection: (0, 100)
What is the effect on the graph of the equation y equals x2 plus 2 when it is changed to y equals x2 - 4?
the graph is moved down 6 units
Vertex for y equals x2 plus 2x plus 1?
The vertex is at (-1,0).
Is y equals x2 plus 1 a function?
Yes. Think of y as being a function of x. y = f(x) = x2 + 1
Y equals x2 plus 4 lies on which axis?
y = x2 + 4 The graph is a parabola, with its nose at y=4 on the y-axis, and opening upward.
Find the vertex of y equals x2 plus 10x plus 22?
-2-5
Is 5-y equals x2 plus x plus 1 a circle?
No, that's a parabola.
How do you derivative x plus y - 1 equals ln x2 plus y2?
There are several steps involved in how one can solve the derivative x plus y - 1 equals x2 plus y2. The final answer to this math problem is y'(x) = (1-2 x)/(2 y-1).
How many roots does y equals x2 - 6x plus 9 have?
one
