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If the parabola y = 2x2 + 8x + m has only one common point with the X axis, then the value of M is______ ．
There is only one common point between ∵ parabola and x-axis, ∵ Δ = 0, ∵ b2-4ac = 82-4 × 2 × M = 0; ∵ M = 8
The parabola y = 2x square + 8x + m has only one common point with the x-axis
2. Make the image of the following function: y = x square + 4x + 4
3. The area of known rectangle is 48CM square, find the functional relationship between the length y and width x of rectangle, write out the range of independent variable x, and draw the image
1. If there is only one common point, then △ = B ^ 2-4ac = 64-8m = 0
So, M = 8
2、y=x^2+4x+4=(x+2)^2
The opening is upward, the vertex (- 2,0), the symmetry axis X = - 2, and the intersection point with the Y axis is (0,4). [figure omitted]
3. Area = length × width
So, X * y = 48
That is, y = 48 / X
The independent variable x > 0
The image is a branch of the inverse scale function in the first quadrant
Given the parabola y = ax ^ 2 and the straight line L: X-Y + 1 = 0, if there are always two points on the parabola which are symmetric about the L axis, the value range of the real number a is obtained
If two straight lines are perpendicular, the slope product is - 1, so the slope of the straight line x1x2 is - 1, that is, (x2-x1) / a (x2 ^ 2-x1 ^ 2) = - 1. Because X1 and X2 are not coincident, x2-x1 is not equal to 0, that is, a (x1 + x2) = - 1. (1) because the parabola y = ax ^ 2, so a
What is the analytic formula of parabola of quadratic function image y = ax & sup2; + BX + C (a ≠ 0) about X-axis symmetry?
What is the analytic formula of parabola of quadratic function image y = ax & # 178; + BX + C (a ≠ 0) about X-axis symmetry?
Is there any parabola analytic expression about Y-axis symmetry y = - ax & # 178; - bx-c (a ≠ 0)?
On Y-axis symmetry is y = ax & # 178; - BX + C (a ≠ 0) --- f (x) = f (- x)
On X-axis symmetry is y = - ax & # 178; - bx-c (a ≠ 0) --- f (x) = - f (x)
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