How to determine if a point is on the graph of a quadratic using vertex form

The video tutorial explains how to verify if a given point lies on a graph by substituting the point's coordinates into an equation and simplifying it using algebraic methods. The process involves substituting X and Y values, applying the order of operations, and verifying the equation's truth to confirm the point's position on the graph.

What is the first step in verifying if a point lies on a graph?

• Use a calculator to check the point.

• Draw the graph and see if the point is on it.

• Substitute the point's coordinates into the equation.

• Check if the point is the vertex.

When simplifying an equation, what should you do first according to the order of operations?

• Multiply the numbers.

• Divide the numbers.

• Add the numbers.

• Solve the parentheses.

How can you handle fractions when multiplying them in an equation?

• Convert them to decimals.

• Ignore the fractions.

• Rewrite them as a single fraction and multiply.

• Add them together.

What does it mean if the equation holds true after substituting the point's coordinates?

• The point is not on the graph.

• The point is the vertex.

• The point satisfies the equation and lies on the graph.

• The point is outside the graph.

Why is it important to prove a point lies on a graph algebraically?

• To confirm the point's position even if it seems obvious.

• Because visual inspection is always incorrect.

• To avoid using a calculator.

• To make the graph look better.