Graph the Quadratic Function $s = - \frac { 1 } { 4 } t ^ { 2 } - t - 1$

question 23

Multiple Choice

Graph the quadratic function. Specify the vertex, axis of symmetry, maximum or minimum value, and intercepts. $s = - \frac { 1 } { 4 } t ^ { 2 } - t - 1$

• A) vertex: (- 2, 0); axis of symmetry: t = - 2; maximum value: 0; t-intercept: - 2; s-intercept: -1.
• B) vertex: (- 2, 0); axis of symmetry: t = - 2; minimum value: 0; t-intercept: - 2; s-intercept: 1.
• C) vertex: (2, 0); axis of symmetry: t = 2; maximum value: 0; t-intercept: 2; s-intercept: -1.
• D) vertex: (0,1); axis of symmetry: t = 0; maximum value: 1; t-intercept: \(\pm 2\) ; s-intercept: 1.
• E) vertex: (0, 2);axis of symmetry: t = 0; maximum value: 2; t-intercept: \(\pm \sqrt { 8 }\) ;s-intercept: 2.

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Definitions:

Greater Than

A mathematical term used to compare two values where one is larger than the other, often denoted by the symbol '>'.

Z-scores

Standardized scores that measure the distance of a data point from the mean, expressed in units of standard deviation.

Standard Normal Distribution

A normal distribution with a mean of zero and a standard deviation of one.

Less Than

A mathematical term indicating that one quantity or number is smaller than another.