Write the parabolic equation in standard form and identify the vertex, focus, directrix, and direction. 7. -2x2 – 4x + y + 70 = 0 8. 2y2 + x + 20y + 51 = 0 9. Vertex: (-1,-3); Focus: (-,-3) 10. Vertex: (-3,0); Focus: (-,0) 19 11. Vertex: (8,5); Directrix: y = 12. Opens Left/Right; Vertex: (-7,9) and passes through the point (-4,8) 13. Vertex: (-2,-3); x-intercept: –11 14. Opens Up/Down; passes through (-4, –3), (–9,27) and (-3,3)

Q: 16X2 + 25Y2 + 160X + 200Y + 400 = 0 hub a.(5.4) B. (5, - 4) C. (-5, -4) D. (-5, 4) Vertex A) C=3…

A:

Q: Select the correct graph of the point (3,2,-1)in the 3D coordinate system

A:

Q: A. C. 5 199 B. * D.

A: To plot the graph of (3,2,-1) in the 3D coordinate system.

Q: Determine an equation for the plane through the following points: (-5, -9, 3), (-8, -4, 7) and (-9,…

A:

Q: The equation of a circle is (x + 10)² + (y − 4)² = 100. - What is the center and radius of the…

A:

Q: y= − x^2 + 10x − 24 Axis of symmetry : State the y-intercept as an ordered pair :

A:

Q: Graph y = (x - h)2for h = 3, 0, and -4..

A: Given: y=x-h2h=3,0 and -4

Q: Are the points (4,2) and (-4, -2) on the graph y=-2x+10

A: The points (4,2) and (-4,-2) and the graph y=-2x+10

Q: Vertex: (4,-1); Focus:(4,-5)   the standard form of equation =

A:

Q: y=x²+6x-3 Put in vertex form

A: topic - polynomials

Q: -6-5 -4 3 -2 12 3 45 -2 -3 3.

A:

Q: reflect the point (2, -4) over the y-axis

A: If we reflect a point over the y-axis then the formula is: (x, y)→(-x, y) Here x=2 and y=-4

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.