If the axis is vertical both have the same abscissa (x-value). The equation is of the form(x−h)2=4p(y−k) The vertex is(h,k). The focus and vertex are separated bypunits on the axis. Answer and Explanation:1 The given equation corresponds to a parabola with the horizonta...
A parabola is a curved line that is defined by a set of points, each of which are the same distance from a fixed point called the focus and a fixed line called the directrix. It can be used to model many real-world phenomena, from projectiles to satellite dishes. Let’s dive into ...
This is a sideways, or horizontal, parabola (in blue). On this graph, you can see the focus (marked in green) inside the parabola, the vertex (marked in orange) on the graph, the directrix (marked in purple) on the other side of the vertex from the focus, and the axis of ...
For instance, if were four points on a parallelogram that were contained in a parabola, this would imply that an alternating sum of the form would vanish for some non-zero ; but this expression simplifies to , which cannot vanish for non-zero as is odd. (For the concylic claim, the...
The y value of the vertex and the focus is the same. The parabola opens to the right. (y - k)2 = 4p(x - h) standard form (y - 4)2 = 4p(x - (-5)) substitute vertex (y - 4)2 = 4p(x + 5) focus = (h + p, k) (-2, 4) = (-5 + p, k) -...
A thin, sharpened side, as of the blade of a cutting instrument. Vertex A point on a polyhedron common to three or more sides. Edge The degree of sharpness of a cutting blade. Vertex A point of maximal curvature on a parabola or hyperbola. Edge A penetrating, incisive quality "His simpl...
(beside). This reflects the parable’s function of throwing two ideas side by side for comparison. The Middle English wordparablewas adopted from Old French, which has origins in Late Latinparabola. Parables often make abstract concepts, like morality or faith, more accessible through familiar ...
How to find the endpoints of a focal chord in a parabola? Find the vertex, focus, and directrix of the parabola. Then sketch the parabola. (x-5)^2+16(y+4)=0 What is the equation of a parabola with a directrix of x = 8 and focus of (-8, 0)?
If you graph out this function, you will get a parabola. Unlike my previous example, the rate of increase in y keeps getting bigger and bigger as x gets bigger. The question is, what is the rate of change? In the case of a parabola, the rate of change would be the slope of a li...
Blink-182 are one of the most beloved bands of the last 30 years, and were a major pillar in the foundation of the pop-punk genre. But which of their albums is the best? That's what we want to know during this week's Loudwire Nights Album of the Week poll. You'll have until ...