1. Solve the following Quadratic Equations using completing the square method
a. 2++=0
b...
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Mathematics, 06.04.2020 00:07 stricklandashley43
1. Solve the following Quadratic Equations using completing the square method
a. 2++=0
b. 2β4+3=0
c. β22+12β17=0
d. 32+15=1
e. 92β12+3=0
2. Graph each of the following quadratic functions. Find the x- and y-intercepts of each graph, if any exist. If it is given in the general form, convert it into standard form. Find the domain and range of each function and list the intervals on which the function is increasing or decreasing. Identify the vertex and the axis of symmetry and determine whether the vertex yields a relative and absolute maximum or minimum.
a. 2+2=0 b. β(+2)2=0 c. β32+5+4
f. 22β4β1=0 e. β2(+1)2=0 f. β32+4+7=0
3. Solve each of the following equations by.
i. Factorization method
ii. Formula method
a. 2β=12 b. 2β40=β14 c. 2+12+36=0
d. 42β1=0 e. 102β19+6=0 f. 52=2
4. Solve each of the following equations.
a. 125+1=2β52β4
b. 6+9+47β1=β1
5. Using the discriminant determine which solution set we get for each of the following quadratic equations.
a. 132+1=5
b. b. 62+20=3
c. c. 492+126=β81
d. 52β2=β3
e. 82+19+2=0
f. 122β25=30
6. Graph the equations in question 5.
7. Write the following in standard form
2
a. 2+65β3
b. 6β1319+4
c. 7+52
d. 8+4
e. 12β313+4
8. Evaluate the following
a. 16β29β3+4β1+5
b. β68β12+3
c. 3β+4+4β62
d. 15+42=+5β1
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