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How do you graph y equals x2?
The graph is a parabola facing (opening) upwards with the vertex at the origin.
How do you make a parabola graph downwards if you can't change the vertex?
Change it from positive to negative
How does y equals 4x2 plus 21x look in a graph?
It is a parabola with its vertex at the origin and the arms going upwards.
What happens to the shape of a parabola as the distance between the vertex of the curve and the focus becomes very large?
The parabola shape is magnified. If you keep the same scale for the graph, the parabola will look wider, more flattened out.
When a parabola opens downward the vertex is the what value?
The vertex is not affected by the direction that the parabola is facing. The vertex is the place where the two sides of the parabola meet. It is in the middle divides the shape in half. If you picture yourself looking at a bowl from the side and then imagining it as two dimensional, it would look like a parabola but for all of the filled in parts of the graph and the fact that the sides of the bowl don't continue on forever. The vertex is the bottom of the bowl, where the sides meet. You measure a vertex as you would a point; with a coordinate.
What is the highest or lowest point on a graph called?
The vertex is the highest or lowest point on a graph.
In a formula for a parabola what do h and k stand for?
In the formula for calculating a parabola the letters h and k stand for the location of the vertex of the parabola. The h is the horizontal place of the vertex on a graph and the k is the vertical place on a graph.
How do you graph y equals x2?
The graph is a parabola facing (opening) upwards with the vertex at the origin.
How do you do a parabola?
A parabola is a graph of a 2nd degree polynomial function. Two graph a parabola, you must factor the polynomial equation and solve for the roots and the vertex. If factoring doesn't work, use the quadratic equation.
How do you make a parabola graph downwards if you can't change the vertex?
Change it from positive to negative
What is the parabola?
A parabola is a type of graph that is not linear, and mostly curved. A parabola has the "x squared" sign in it's equation. A parabola is not only curved, but all the symmetrical. The symmetrical point, the middle of the parabola is called the vertex. You can graph this graph with the vertex, x-intercepts and a y-intercept. A parabola that has a positive x squared would be a smile parabola, and the one with the negative x squared would be a frown parabola. Also, there are the parabolas that are not up or down, but sideways Those parabolas have x=y squared, instead of y = x squared.
What is the y-coordinate of the vertex of the parabola that is given by the equation below?
We will be able to identify the answer if we have the equation. We can only check on the coordinates from the given vertex.
What different information do you get from vertex form and quadratic equation in standard form?
The graph of a quadratic function is always a parabola. If you put the equation (or function) into vertex form, you can read off the coordinates of the vertex, and you know the shape and orientation (up/down) of the parabola.
What the the vertex of a parabola?
The vertex would be the point where both sides of the parabola meet.
How does y equals 4x2 plus 21x look in a graph?
It is a parabola with its vertex at the origin and the arms going upwards.
What happens to the shape of a parabola as the distance between the vertex of the curve and the focus becomes very large?
The parabola shape is magnified. If you keep the same scale for the graph, the parabola will look wider, more flattened out.
What is y equals x2 plus 2x plus 1 on a graph?
Interpreting that function as y=x2+2x+1, the graph of this function would be a parabola that opens upward. It would be equivalent to y=(x+1)2. Its vertex would be at (-1,0) and this vertex would be the parabola's only zero.
