# Search for tag: "points"

#### Graphing a parabola of the form y =- ax^2 + bs + c: Integer coefficients

Shows how to ofirst find the coordinates of the vertex, then choose other inputs to find two more points on each side of the vertex, plott them and draw the graph.

From  Tom Grant 5 plays 0

#### Graphing a parabola ofthe form y = ax^2 or y = ax^2 + c

Shows how to shoose appropriatate input values to find five points, then plot them and draw the graph.

From  Tom Grant 6 plays 0

#### Writing an equation and graphing a line given its slope and y-intercept

The informaton given here can be entered directly into the y = mx + b or slope-intercept form. Then the y-intercept is used as a starting point where you apply rise over run to the given slope to…

From  Tom Grant 6 plays 0

#### Graph a line given its equation in slope-intercept form: Fractional slope

Another demo on how to use the y-intercept to start a graph of a linear equation and then use the slope to find other points on the graph. It finishes with showing the line representing all of the…

From  Tom Grant 8 plays 0

#### Graphing a line given its equation in slope-intercept form: Integer slope

This explains how to use the slope and y-intercept to determine points on the line graph of a linear equation in two variables and then draws the straight line graph.

From  Tom Grant 10 plays 0

#### Set builder and interval notation

Shows how to interpret and graph on a number line a set written in set builder notation, then goes on to transfer the line graph to interval notation.

From  Tom Grant 9 plays 0

#### Graphing a parabola of the form y = ax^2 + bx + c: Integer coefficients

This shows how to find the vertex of a parabola and then calculate the matching points one unit and two units to the left and right of hte axis of symmetry

From  Tom Grant 21 plays 0

#### Graphing a linear inequality in the plane: Slope-intercept form

Shows how to determine the boderline separating the side of the x-y graph that has true solutions from the side that does not. It is then shown how to decide whether that line should be dotted or…

From  Tom Grant 24 plays 0

#### Classifying systems of linear equations from graphs

Looks at the three types of graphs that can occur with a system of two linear equaltions in two variables.

From  Tom Grant 17 plays 0

#### Graphing a parabola of the form y=ax^2

Demonstrates how to make t his graph per instructions, and also shows how to deal with a fractional leading coefficient.

From  Tom Grant 13 plays 0

#### Graphing a function of the form f (x) = ax + b: Fractional slope

Shows how thits form is simply the same as y = mx + b, and then writes the slope and y-intercpt down. It ends with using these to graph the line of points that satisfy this function.

From  Tom Grant 99 plays 0

#### Finding intercepts of a nonlinear function given its graph

Just showiing how to locate and write down the x-intercepts and y-intecepts when looking at a graph

From  Tom Grant 29 plays 0

#### Vertical Line Test

This demonstrates why and how to use vertical lines to test whether a graph of any relation is a function or not.

From  Tom Grant 117 plays 0

#### Application problem with a linear function: Finding a coordinate given two points

We use the slope formula to find the slope from the given points, then we use it again, inserting the discovered slope and solving for the desired missing coordintate of a third point.

From  Tom Grant 47 plays 0

#### Application problem with a linear function: Finding a coordinate given slope and a point

Using the slope formula, we enter the given information and then solve for the unknown coordinate.

From  Tom Grant 24 plays 0

#### Writing an equation and drawing its graph to model a real-world situation: Advanced

Shows how to interpret a situatioin and create an equation that creates a mathematical connection between two variables. Then by substituting a couple of input values, we can determine the outputs…

From  Tom Grant 72 plays 0