Victory for the ACT Student Text 15e

L ESSON 3 | C OORDINATE G EOMETRY • 233

GRAPHS OF FIRST-DEGREE INEQUALITIES

Š‹…Š ‘ˆ –Š‡ ˆ‘ŽŽ‘™‹‰ ‹• –Š‡ ‰”ƒ’Š ‘ˆ –Š‡ inequality y x 2 $ ? F. J. G. K. H.

22.

Throwback to Math Class To graph an inequality: 1. ‡’Žƒ…‡ –Š‡ ‹‡“—ƒŽ‹–› •›„‘Ž ™‹–Š ƒ ‡“—ƒŽ •‹‰ ƒ† ‰”ƒ’Š –Šƒ– line. 2. Šƒ†‡ –Š‡ •‹†‡ –Šƒ– •ƒ–‹•ϐ‹‡• –Š‡ ‹‡“—ƒŽ‹–›Ǥ 3. If the inequality is greater than or equal to, or less than or equal to, then the line should be solid. If the inequality is less than or greater than (not equal to), then the line should be dashed to •Š‘™ –Šƒ– –Š‡ Ž‹‡ †‘‡• •ƒ–‹•ˆ› –Š‡ ‹‡“—ƒŽ‹–›Ǥ

GRAPHS OF QUADRATIC EQUATIONS AND RELATIONS

23 Ǥ Š‹…Š ‘ˆ –Š‡ ˆ‘ŽŽ‘™‹‰ ‹• –Š‡ ‰”ƒ’Š ‘ˆ –Š‡ equation ( ) x y 1 4 2 2 − + = ? A. D. B. E. C.

Throwback to Math

Throwback to Math Class The vertex is the Ž‘™‡•– ’‘‹– ‘” minimum for a parabola going —’™ƒ”† ƒ† –Š‡ vertex is the highest point or maximum for a parabola going †‘™™ƒ”†Ǥ

Throwback to Math Class The equation of a circle is r 2 ( ) ( ) x h y k − + − 2 ™Š‡”‡ r is the radius of the circle, and ( h , k ) is the center of the circle on the coordinate plane. , 2

Class Circles and ellipses are not functions because they fail the vertical line test: a function can only have one output, y , for each unique input, x .