91Ó°ÊÓ

Which description of the graph of \(y=a x^{2}+b x+c\) is NOT possible? F. There are two \(x\) -intercepts, the vertex is below the \(x\) -axis, and \(a>0\) . G. There is one \(x\) -intercept and the vertex is on the \(x\) -axis. H. There are two \(x\) -intercepts, the vertex is below the \(x\) -axis, and \(a<0\) . J. There are no \(x\) -intercepts, the vertex is above the \(x\) -axis, and \(a>0\) .

What is the discriminant of a quadratic equation, and what does its value tell you about the solution(s) of the equation?

Solve each equation using a graphing calculator. $$ 2 x^{2}+3 x-4=0 $$

Use the following information about quadratic functions for Exercises \(85-90\) . vertex form: \(y=a(x-h)^{2}+k \quad\) standard form: \(y=a x^{2}+b x+c\) When \(y=-2(x+3)^{2}+25\) is written in standard form, what is the value of \(c ?\)

Coins The combined mass of a penny and a nickel and a dime is 9.8 g. Ten nickels and three pennies have the same mass as 25 dimes. Fifty dimes have the same mass as 18 nickels and 10 pennies. Write and solve a system of equations to find the mass of each type of coin.