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How many times does the graph of 2x2-7x plus 5 cross the x-axis?
Twice at 1 and 5/2 2x2-7x+5 = 0 (2x-5)(x-1) = 0 x = 1 or x = 5/2
How many times does 3x2 plus 8x plus 5 touch or cross the x axis?
If you mean: 3x2+8+5 = 0 Then it crosses the x axis at points -1 and -5/3
What do points on the lines parallel to the x-axis 5 units above it have in common?
5 units, x axis
How many times does 1 cross the x-axis?
y=1 does not cross the x-axis. It is a line parallel to the x-axis (and therefore can't ever cross it)
How do you graph the equation of a line y equals 2x plus 1?
Start at (0, 1 [x, y]). Then, when you go right, for every 1 on the x axis, the line increases 2 on the y axis. The next point would be (1, 3), then (2, 5), then (3, 7), then (4, 9). Going the other way (to the negatives), you would subtract 2 on the y axis for each 1 on the x axis. The points would be (-1, -1), (-2, -3), (-3, -5), and so on.
What is the reflection of (-1-5) across y axis?
The reflection of a point across the y-axis involves changing the sign of the x-coordinate while keeping the y-coordinate the same. In this case, the point (-1, -5) will reflect to (1, -5) across the y-axis. This is because the x-coordinate changes from -1 to 1, while the y-coordinate remains -5.
What rule describes a transformation across the X-Axis?
(x,y) --> (x,-y)
How many times does the graph of 2x2-7x plus 5 cross the x-axis?
Twice at 1 and 5/2 2x2-7x+5 = 0 (2x-5)(x-1) = 0 x = 1 or x = 5/2
How many times does 3x2 plus 8x plus 5 touch or cross the x axis?
If you mean: 3x2+8+5 = 0 Then it crosses the x axis at points -1 and -5/3
What is the rule for a reflection across the y-axis followed by a translation 1 unit to the right and 4 units up?
(x' , y') = (-x + 1 , y + 4)
What would be the rule with a constant rate of change of 1 on the x-axis and with a constant rate of change of 2 on the y-axis?
-1
What do points on the lines parallel to the x-axis 5 units above it have in common?
5 units, x axis
How do you find the area enclosed by the curve y equals 7x-x2-10 and the x-axis?
The area under a curve (between it and the x-axis) is found by integrating the curve: area = ∫ y dx The area enclosed between the curve and the x-axis is bounded by where the curve meets the x-axis. 7x - x² - 10 = -(x - 2)(x - 5) = 0 → The curve meets the x-axis at x = 2 and x = 5 The area between the limits is the difference between the value of the the integral at the limits. → A = ∫ y dx = ∫ 7x - x² - 10 dx = (7/2)x² - (1/3)x³ - 10x + c → A = ((7/2)×5² - (1/3)×5³ - 10×5 + c) - ((7/2)×2² - (1/3)×2³ - 10×2 + c) = 4.5
What is the distance to the center of the circle x2 plus y2 -2x -6y plus 5 equals 0 from the x axis at the same point when the tangent line meets the x axis from the point 3 4?
Equation of circle: x^2 +y^2 -2x -6y +5 = 0 Completing the squares: (x-1)^2 +(y-3)^2 = 5 Center of circle: (1, 3) Tangent line from (3, 4) meets the x axis at: (5, 0) Distance from (5, 0) to (1, 3) = 5 using the distance formula
This ellipse has a horizontal axis of length 10 and a vertical axis of length 4 What is its equation?
By taking a coordinate system with origin at the center of the ellipse, and x-axis along the major axis, and y-axis along the minor axis, then the ellipse intercepts the x-axis at -5 and 5, and the y-axis at -2 and 2. So that the equation of the ellipse x2/a2 + y2/b2 = 1 becomes x2/52 + y2/22 = 1 or x2/25 + y2/4 = 1.
What is the ordered pair rule that reflects a figure across the x- axis?
f(x, y) = (x, -y)
How many times does 1 cross the x-axis?
y=1 does not cross the x-axis. It is a line parallel to the x-axis (and therefore can't ever cross it)
