Question

Create a graph from points and degree calculator

A) By finding the x-intercept
B) By finding the vertex
C) By solving a system of equations
D) By factoring the quadratic expression

Answer 1

To create a graph from points and calculate the degree of a quadratic equation, you can use methods such as finding the x-intercept, finding the vertex, solving a system of equations, or factoring the quadratic expression.

Step-by-step explanation:

To create a graph from points and calculate the degree of a quadratic equation, there are several methods you can use. Here are the steps for each method:

A) By finding the x-intercept:

1. Set the quadratic equation equal to zero.
2. Solve the equation to find the x-intercepts.
3. Plot the x-intercepts on the graph.
4. Draw a smooth curve that passes through the x-intercepts.

B) By finding the vertex:

1. Use the formula x = -b/(2a) to find the x-coordinate of the vertex.
2. Substitute the x-coordinate into the quadratic equation to find the y-coordinate of the vertex.
3. Plot the vertex on the graph.
4. Draw a symmetrical curve around the vertex.

C) By solving a system of equations:

1. Create a system of equations with the given points and the quadratic equation.
2. Solve the system of equations to find the coordinates of the points.
3. Plot the points on the graph.
4. Draw a curve that goes through the points.

D) By factoring the quadratic expression:

1. Factor the quadratic expression.
2. Set each factor equal to zero and solve for x.
3. Plot the x-intercepts on the graph.
4. Draw a curve that goes through the x-intercepts.