Learn how to sketch the graph of a hyperbola center at the origin

The video tutorial explains how to convert an equation to standard form, identify the center and parameters of a hyperbola, and sketch its graph. It covers finding the center, A, B, and C values, and provides tips for graphing vertices, foci, and asymptotes. The tutorial also offers tricks for graphing using co-vertices and boxes, emphasizing the importance of aesthetics in graphing.

What is the first step in converting the given equation to standard form?

• Subtract 12 from both sides

• Divide both sides by 12

• Add 12 to both sides

• Multiply both sides by 12

Where is the center of the hyperbola located?

• (0, 0)

• (-1, -1)

• (1, 1)

• (2, 2)

How is the distance of the vertices determined in the graph?

• By subtracting b from a

• By adding a and b

• By calculating the square root of b

• By using the value of a

What is the approximate value of the foci for the hyperbola?

• Exactly 2

• Between 2 and 3

• Exactly 3

• Between 1 and 2

What is the equation for the asymptotes of a hyperbola with a horizontal transverse axis?

• y = ± (b/a) * x

• y = ± (a^2/b^2) * x

• y = ± (b^2/a^2) * x

• y = ± (a/b) * x

What is a useful trick for graphing asymptotes?

• Use the co-vertices to create a box

• Plot the vertices and draw a circle

• Draw a straight line through the center

• Estimate the slope visually

Why is it beneficial to draw asymptotes before sketching the hyperbola?

• It reduces the number of vertices

• It simplifies the calculation of foci

• It makes the graph look more accurate

• It helps in finding the center