Eliminate the parameter to obtain a sideways parabola

The video tutorial discusses solving for X and introduces the concept of non-functions. It explains how to substitute variables and understand parabolas, focusing on their orientation based on the sign of variables. The lesson encourages practical application by using calculators to visualize equations, concluding with a discussion on how parabolas open depending on whether the variable is positive or negative.

What is the main reason the plus or minus square root is not graphed as a function?

• It is always negative.

• It is not used in real-world applications.

• It does not represent a function.

• It is too complex to calculate.

When variables are rearranged, what shape does the graph take?

• A hyperbola

• A parabola

• A line

• A circle

If 'a' is positive, in which direction does the parabola open?

• To the right

• Upwards

• Downwards

• To the left

What happens to the parabola when 'a' is negative?

• It opens downwards

• It opens to the left

• It opens upwards

• It opens to the right

What tool is suggested to visualize the graph of a sideways parabola?

• A graph paper

• A protractor

• A ruler

• A calculator in parametric mode