The vertex of parabola y = x2 + 3x is in () A. First quadrant B. second quadrant C. third quadrant D. fourth quadrant

By deforming y = x2 + 3x, we can get: y = (x + 32) 2-94, then the vertex coordinates are (− 32, − 94), then this point is in the third quadrant

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1. It is known that two parabola C1: y = x squared-4 and C2: y = x squared-2ax + B {a, B are constants} and The x-axis intersects at A1, B1 and A2, B2. The vertices are Q1 and Q2 respectively. It is known that the point P (a, b) is on the parabola C1 Try to explain the position relationship between two parabolas Judging the shape of quadrilateral a1q1q2a2 I hope I can help you. I really don't have any points now. I'm sorry
2. If the parabola C1C2 is symmetric about the Y-axis and the parabola C1: y = x ^ 2-3x + 2, then the analytical expression of the parabola C2 is
3. If we know that the square + (m-1) x + (m-2) of the parabola y = x intersects with the x-axis and two points a and B, and ab = 2, then what is m?
4. It is known that the square of a straight line passing through point P (2,0) with a slope of 4 / 3 and a parabola y = 2x intersect at two points a and B. let the midpoint of line AB be M. Find the coordinates of point M. how to teach the students this problem, The answer seems to be m (41 / 16,3 / 4). How can I tell the students?
5. A straight line with a slope of 1 intersects with a parabola y2 = 2x at two different points a and B. find the trajectory equation of the midpoint m of the line ab
6. As shown in the figure, the parabola y = - X & # 178; + 2 (k-1) x + K + 1 intersects the X axis at two points a and B, and intersects the Y axis at point C. the length ratio of line OA to ob is 1:3 (1) Finding the analytic formula of parabola and the coordinates of two points a and B (2) The circle d with diameter AB intersects with the positive half axis of Y axis at point e. the tangent line of circle D is made through e, and the X axis intersects with point F. the coordinates of point F are calculated AB is on the opposite side of Y axis
7. If the two strings of a circle are parallel to each other, are the arcs between the two strings equal?
8. How to prove that the arcs of two equal strings are equal
9. The two arcs of the same string must be equal As above
10. In the same circle or equal circle, the arcs and chords opposite by equal circle angles are not equal There is another question: why is the degree of the arc equal to that of the central angle? Is the degree of an arc equal to that of a circle?
11. If the line y = 3x + m passes through the first, third and fourth quadrants, then the vertex of the parabola y = (x-m) 2 + 1 must be at () A. First quadrant B. second quadrant C. third quadrant D. fourth quadrant
12. Translate the parabola y = ax (a ≠ 0) upward by three units, so that the length of its segment on the x-axis is 4, and find the value of A
13. If the parabola y = x ^ + PX + Q is shifted to the right by 3 units, and then to the right by 2 units, the following formula is obtained: y = x ^ - 3x + 15, then p, Q, etc?
14. If there are two points a and B on the parabola y = x2 + 4x-2, and the origin is at the midpoint of line a and B, then the coordinates of these two points are?
15. If the endpoint A and B of the line segment AB with fixed length of 3 move on the parabola y ^ 2 = x, and the midpoint of AB is m, then when the coordinate of M is, the distance to the Y axis is the shortest and the shortest If the endpoint A and B of the line segment AB with fixed length of 3 move on the parabola y ^ 2 = x, and the midpoint of AB is m, then when the coordinate of M is what, the shortest distance to the Y axis is? (Note: liberal arts students,)
16. The two ends a and B of the line segment AB with length L move on the parabola y = x ＾ 2. The midpoint of AB is m, and the shortest distance from the point m to the X axis is obtained I'm not good at math
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18. If the two ends of the line segment AB with fixed length of 3 move on the parabola y ∧ 2 = 2x and M is the midpoint of AB, what is the shortest distance from m to y axis?
19. The two ends of the line segment AB with fixed length of 3 move on the parabola y ^ 2 = X. note that the midpoint of the line segment AB is m. calculate the shortest distance from the point m to the Y axis, and calculate the M coordinate at this time What is the second definition.
20. It is known that a and B on the number axis correspond to - 2 and 4 respectively, P is a moving point on the number axis, and the corresponding number is x value 1) If P is the trisection point of line AB, find the number corresponding to P (2) Is there a point P on the number axis, so that the sum of the distances from point P to point a and point B is 10? If there is, calculate the value of X; if not, explain the reason (3) If point a, point B and point P (point P at the origin) move to the left at the same time, and their velocities are 1, 2 and 1 length unit / min respectively, then in what minutes is p the midpoint of AB?