Help me solve the following problems show all the steps for a better understanding for me

Problem1:

y = 3x^2 + 2 x -5

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a)Graph y

b)What is the x-intercept?

c)What is the y-intercept?

d)What is the domain

e)What is the range

f)Is thus a function, why?

g)Is it one-to-one, why?

h)What is the inverse of y?

i)Find the distance, midpoint of the x-intercept points

j)What is the vertex point?

k)What is the axis of symmetry?

l)What is the vertex form equation?

Problem2:

a) 2 x - 1 y = 12

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1.What is the x intercept?

2.What is the y-intercept?

3.What is the slope

4.Graph

b)Find the equation of the line for (7,8) and (9,12) (30 points)

1.What is the equation of the line?

2.What is the slope

3.What is the parallel slope?

4.What is the perpendicular slope?

5.Is this a function?

6.Is one-to-one?

7.What is the domain?

8.What is the range?

9.What is the inverse?

10.What is the x-intercept?

11.What is the y-intercept?

12.Graph the equation

Problem 3: Solve each equation for the unknown:

a)3(3 - x) -2 (1 - 2x) = 13 -5(x + 1)^2

b)4-3x - x-2 = 2(x + 1)

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Problem 4: Factoring

a) 3x^8 - 3

b)2x^2 + 5x - 3

Problem 5: Solving

a)Solve the inequality, graph and write interval notation and set notation 4( x-2) + 1 < 4(5 - x)

b)18 - |x + 2| = 6

c)|5x + 2| = |x + 1|

d)solving by completing square: y = 5x^2 + 3 x - 1

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