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General Equation of a Parabola. Preliminaries Graph of y = x2 Transformation of Graphs. Shifting graphs Stretching graphs Flipping graphs. Objectives Find the equation of a parabola, given the graph. y = x2. y. ( 2; 4) (2; 4) ( 1; 1) (1; 1) x.
- 1.General Equation of a Parabola
In this lesson, we will write the equation of a parabola,...
- 1.General Equation of a Parabola
Writing Equations of Parabolas Date_____ Period____ Use the information provided to write the vertex form equation of each parabola. 1) Vertex at origin, Focus: (0, − 1 32) y = −8x2 2) Vertex at origin, Focus: (0, 1 8) y = 2x2 3) Vertex at origin, Directrix: y = 1 4 y = −x2 4) Vertex at origin, Directrix: y = − 1 8 y = 2x2
In this lesson, we will write the equation of a parabola, given its graph. 3.The standard parabola is y = x2. The y-axis is the axis of symmetry, the parabola looks the same to the left of the y-axis as it does to the right of the y-axis. The point on the axis of symmetry which divides the parabola into two equal branches is called the vertex ...
parabola. It has one branch like an ellipse, but it opens to infinity like a hyperbola. Throughout mathematics, parabolas are on the border between ellipses and hyperbolas. To repeat: We can slice through cones or we can look for equations. For a cone of light, we see an ellipse on the wall. (The wall cuts into the light cone.) For an
General Equation of a Parabola. Preliminaries and Objectives. Preliminaries Graph of y = x2 Transformation of Graphs. Shifting graphs Stretching graphs Flipping graphs. Objectives Find the equation of a parabola, given the graph. Standard Parabola. y = x2. ( 2; 4) (2; 4) ( 1; 1) (1; 1) x. Axis of symmetry = y-axis.
parabola are (1, 0) and (3, 0), the y-intercept is (0, 3) and the vertex or turning point is (2, –1). You can see that the parabola is symmetric about the line x = 2 , in the sense that this line divides the parabola into two parts, each of which is a mirror image of the other.
General Equation of a Parabola. You should be familiar with the graph of the quadratic function y = x2, as well as transfor-mations of graphs, specifically how to shift, stretch and flip a graph. In this lesson, we will write the equation of a parabola, given its graph. The standard parabola is y = x2.
