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mustang
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Find the vertex, axis of symmetry, focus, and directrix of each parabola. Indicate whether the vertex is a max. or min. point.
Problem 45.
x=4y^2 - 6y + 15
Problem 45.
x=4y^2 - 6y + 15
HallsofIvy said:Were you able to do the first 44 problems?
Here is a hint: write x= 4(y2- (3/2)y )+ 15 and then complete the square. That will tell you where the vertex is. Your textbook should have a formula allowing you to find the information you need.
The directrix, in this case, is a vertical line and the axis of symmtry is a horizontal line.
Give it a try and show us what you can do.
A parabola is a type of curve that is U-shaped and is created by the intersection of a plane and a right circular cone.
The vertex of a parabola is the highest or lowest point on the curve, depending on whether the parabola opens upwards or downwards.
The axis of symmetry of a parabola is a line that divides the parabola into two equal halves and passes through the vertex.
The focus of a parabola is a fixed point on the interior of the curve, located on the axis of symmetry and is equidistant from all points on the curve.
The directrix of a parabola is a fixed line that is perpendicular to the axis of symmetry and is located on the exterior of the curve, equidistant from all points on the curve.