What is the y-intercept of the graph of the equation y x 2 2x 3?
The y-intercept is (0,3) .
What is the vertex of y x 2 2x 3?
The coordinates of the vertex of the parabola with the equation y = x2 + 2x – 3 is (-1, -4).
What are the zeros of the function y X² 2x 3?
Zeroes of the equation, ⇒ (x + 1)(x – 3) = 0. ⇒ x = -1 and x = 3. ⇒ y = x² – 2x – 3.
How do you graph quadratic functions?
Graph a quadratic equation in two variables.
- Write the quadratic equation with. on one side.
- Determine whether the parabola opens upward or downward.
- Find the axis of symmetry.
- Find the vertex.
- Find the y-intercept.
- Find the x-intercepts.
- Graph the parabola.
How do you find the vertex?
We find the vertex of a quadratic equation with the following steps:
- Get the equation in the form y = ax2 + bx + c.
- Calculate -b / 2a. This is the x-coordinate of the vertex.
- To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.
How do you write the axis of symmetry?
The symmetry cuts any geometric shape into two equal halves. The axis of symmetry formula is given as, for a quadratic equation with standard form as y = ax2 + bx + c, is: x = -b/2a. If the parabola is in vertex form y = a(x-h)2 + k, then the formula is x = h.
What is the vertex of a graph?
“Vertex” is a synonym for a node of a graph, i.e., one of the points on which the graph is defined and which may be connected by graph edges. The terms “point,” “junction,” and 0-simplex are also used (Harary 1994; Skiena 1990, p. 80).
How do you find the line of symmetry on a graph?
You can use the formula x = -b / 2a to find the line of symmetry. Vertex form is y = (x – h)^2 + k. where h = x and k = y. Identify which number is -h in the equation, and then write the opposite of -h for your line of symmetry.