with this Part 1: Multiple Choice
Find the discriminant of each quadratic equation then state the number and type of solutions.
1) $7 x^{2}-9 x=0$
2) $6 n^{2}+8 n+3=0$
A) 81 ; two real solutions
A) $-87$; two imaginary solutions
B) 121 ; two real solutions
B) $-8$; two imaginary solutions
C) 296 ; two real solutions
C) $-8$; two real solutions
D) 81 ; one real solution
D) 84 ; two real solutions
3) $2 x^{2}+8 x+8=0$
4) $-5 x^{2}-10 x-5=0$
A) 0 ; two imaginary solutions
A) $-175$; two imaginary solutions
B) 0 ; one real solution
B) 200 ; two real solutions
C) 65 ; two real solutions
C) 0 ; one real solution
D) 0 ; two real solutions
D) 0 ; two imaginary solutions
5) $\mathrm{f}(\mathrm{x})=x^{2}$ and $\mathrm{g}(\mathrm{x}) \mathrm{i}=(x+4)^{2}$, then $\mathrm{g}(\mathrm{x})$ is $\quad$ 6) $\mathrm{f}(\mathrm{x})=x^{2}$ and $\mathrm{g}(\mathrm{x})$ is $5 x^{2}$, then $\mathrm{g}(\mathrm{x})$ is $\mathrm{f}(\mathrm{x})$
$\mathrm{f}(\mathrm{x})$ shifted with $\mathrm{a}$
A) up 4
B) right 4
A) none of these
C) left 4
D) down 4
B) different vertex
C) vertical stretch
D) vertical compression
7) $\mathrm{f}(\mathrm{x})=x^{2}$ and $\mathrm{g}(\mathrm{x})$ is $x^{2}+4$, then is $\mathrm{f}(\mathrm{x})$
8) $\mathrm{f}(\mathrm{x})=x^{2}$ and $\mathrm{g}(\mathrm{x})$ is $(1 / 2) x^{2}$, then $\mathrm{g}(\mathrm{x})$ is shifted
A) left 4
B) down 4
C) right 4
D) up 4
A) vertical compression
B) none of these
C) different vertex
D) vertical stretch Part 2: Free Response (Write your answers on your paper)
Fill in the blanks.
9) $f(x)=-x^{2}+4 x-3$
10) $f(x)=2 x^{2}-12 x+16$
$x$ intercept(s)
axis of
symmetry
x intercept(s) axis of symmetry
State the vertex of each function, and the value of a, and which way the parabola of
State the vertex of each function, and the value of a, and which way the parabola opens (up or down).
11) $y=(x+4)^{2}+1$
Vertex
12) $y=(x-3)^{2}+2$
Value of a
Opens
13) $y=2 x^{2}+16 x+34$
Vertex
Vertex
Value of a
Opens
Vertex
Value of $a$ 14) $y=-x^{2}-2 x-4$ Value of $\mathrm{a}$
Opens
15) A golf ball is thrown off of the roof of a building. It's height $h(t)$ after $t$ seconds is modeled
the function $h(t)=-5 t^{2}+4 t+18$
What is the initial height of the golf ball?
Opens
15) A golf ball is thrown off of the roof of a
+2668 We aren't here to do your work for you.
This is standard form: \(ax^2 + bx + c = 0 \) In the quadratic formula: \(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\) and \(b^2-4ac\) is the discriminant. If it is positive, there are 2 real solutions. If it is 0, there is 1 real solution. If it is negative, there are 2 imaginary solutions.
