Consider the parabola given by the equation: f(x) = 4x² - 6x - 8 find the following for this parabola: a) the vertex: preview b) the vertical intercept is the point preview c) find the coordinates of the two a intercepts of the parabola and write them as a list, separated by commas: preview it is ok to round your value(s) to to two decimal places. get : video video

The vertex:

The vertical intercept is:

The coordinates of the two intercepts of the parabola are and

Step-by-step explanation:

To find the vertex of the parabola you need to:

1. Find the coefficients a, b, and c of the parabola equation

2. You can apply this formula to find x-coordinate of the vertex

, so

3. To find the y-coordinate of the vertex you use the parabola equation and x-coordinate of the vertex ()

To find the vertical intercept you need to evaluate x = 0 into the parabola equation

To find the coordinates of the two intercepts of the parabola you need to solve the parabola by completing the square

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents