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The equation y -3x2 describes a parabola. Which way does the parabola open?
The given terms can't be an equation without an equality sign but a negative parabola opens down wards whereas a positive parabola opens up wards.
What is the focus of a parabola?
The focus of a parabola is a fixed point that lies on the axis of the parabola "p" units from the vertex. It can be found by the parabola equations in standard form: (x-h)^2=4p(y-k) or (y-k)^2=4p(x-h) depending on the shape of the parabola. The vertex is defined by (h,k). Solve for p and count that many units from the vertex in the direction away from the directrix. (your focus should be inside the curve of your parabola)
What is the midpoint of the parabola between the focus and the directrix?
It is the apex of the parabola.
Does a parabola have to have an x-intercept?
No, a parabola does not have to have an x-intercept. ex. -2(x-2)^2 - 4 is a parabola that has no x-intercept.
What is the lowest or highest point in a parabola?
A vertex is the highest or lowest point in a parabola.
In which direction does the parabola?
A parabola can open left, down, right, or left on a graph, if that's what you mean:\
Can a parabola shape be in any direction?
Yes, but a parabola, itself, can have only a vertical line of symmetry.
if the parabola open upward a is?
positive.
How does the value a affect the width of the parabola?
In a quadratic equation of the form (y = ax^2 + bx + c), the value of (a) determines the width of the parabola. If (|a|) is greater than 1, the parabola is narrower, indicating that it opens more steeply. Conversely, if (|a|) is less than 1, the parabola is wider, meaning it opens more gently. The sign of (a) also affects the direction of the opening: positive values open upwards, while negative values open downwards.
How does the value of a variable affect the direction the parabola opens?
If the value of the variable is negative then the parabola opens downwards and when the value of variable is positive the parabola opens upward.
What is the area of the inside of a parabola?
Since a parabola is an open infinite curve, the area inside it is infinite.
The equation below describes a parabola. If a is negative which way does the parabola open y ax2?
Down
In which direction does the parabola that is given by the equation below open..... x equals -2.5 parenthese y - 3 end parenthese squared plus 5?
Left
Where is the line of symmety located on a parabola?
The line of symmetry located on a parabola is right down the center. A parabola is a U shape. Depending on the direction of the parabola it either has a x axis of symmetry or y axis of symmetry. You should have two equal sides of the parabola.
What way does a parabola open if a is negative?
Downwards
What way does the parabola open if a is greater than 0?
If a is greater than zero then the parabola opens upward.
How do you calculate surface area of a parabola?
A parabola is a two dimensional open curve. Its area is therefore infinite.
