How does changing each of a, b, and c in the equation y = ax2 + bx + c change the shape of the parabola? how would you have to change the equation to make the ball first hit the backboard and then fall through the net? explain how another player could stand in the same spot, facing the same direction, throw the ball in that direction, but miss the basket

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.

Dexter read 11 science fiction books and 5 history books. lena read 9 science fiction books and 4 history books. compare the students’ ratios of science fiction books to history books. 1. determine the ratios’ form:    science fiction books to history books 2. write the ratios as fractions:    dexter: 115; lena: 94 3. rewrite with a common denominator. 4. compare. 5. answer the question. determine which shows the correct comparison of the ratios for this problem.

Which graph represents the parent function of y=(x+2)(x-2)