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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
What is the y-coordinate of y equals x2 - 4x plus 12?
It can be anything from 41/4 to infinite.
If y equals -2 when x equals 4 find x when y equals 5?
x1:y1 = x2:y2 4:-2 = x2:5 x2 = (4*5)/-2 x2 = -10
What is y equals x2 plus 7x plus 4 in vertex form?
You can get it to vertex form by completing the square: y = x2 + 7x + 4 ∴ y = x2 + 7x + (7/2)2 - (7/2)2 + 4 ∴ y = (x + 7/2)2 - 49/4 + 16/4 ∴ y = (x + 7/2)2 - 33/4
When x equals 5 and y equals 2 find the value of x2 plus 2y?
x2 + 2y = 52 + 2*2 = 25 + 4 = 29
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.
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
What is the y-coordinate of y equals x2 - 4x plus 12?
It can be anything from 41/4 to infinite.
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.
How many roots does y equals x2-4x plus 4 have?
y = x2-4x+4 Since the highest degree term is 2, it must have 2 roots
If y equals -2 when x equals 4 find x when y equals 5?
x1:y1 = x2:y2 4:-2 = x2:5 x2 = (4*5)/-2 x2 = -10
What is y equals x2 plus 7x plus 4 in vertex form?
You can get it to vertex form by completing the square: y = x2 + 7x + 4 ∴ y = x2 + 7x + (7/2)2 - (7/2)2 + 4 ∴ y = (x + 7/2)2 - 49/4 + 16/4 ∴ y = (x + 7/2)2 - 33/4
When x equals 5 and y equals 2 find the value of x2 plus 2y?
x2 + 2y = 52 + 2*2 = 25 + 4 = 29
What is the vertex of the parabola y equals x2 plus 8x plus 5?
The vertex has a minimum value of (-4, -11)
What is the range of y equals x2 plus 6x plus 11?
y ≥ 11
Y equals -x2 plus 4x-3?
y = 4x-3
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)
