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In this section we will see how knowledge of some rather simple graphs can help us graph some more complexes graphs. Collectively the methods we will learn in this section are called transformations.
Vertical Shifts
Given the graph of f ( x ) the graph of g ( x ) = f (x ) + c will be the graph of f (x )shifted up through c units if c is +ve and or down through c units if c is -ve.
Thus, if we can graph f ( x ) getting the graph of g ( x ) is fairly simple.
1.Ms. Nioka and seven of her friends went out to eat. They decided to split the bill evenly. each person paid $8.73. What was the total bill.
Alex lives .4 miles from the park, beth lives .8 miles from the park. To run equal distances Alex runs 8 times around the park and Beth run 6 times around the part. Write an equati
what is quarditic equation
Solve following equations by factoring. a) x 2 - x = 12 b) y 2 + 12 y + 36 = 0 Solution a) x 2 - x = 12 First to solve it get everything on si
Differential Equations, Mathematics 1.Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1)
??2+??2+16??-18??+145=25 Standard form (x-h)^2 +(y-k)^2 k (x^2+16x+64)^2+(y^2-18y+81)^2=25 (x+8)^2+(y-9)^2=120 (h,k)=(8,-9) R=5 Intercepts
Not every linear system along with three equations and three variables utilizes the elimination method exclusively therefore let's take a look at another instance where the substit
ac + xc + aw^2 +xw^2 i need to factor the problem above
8x+14y=4 -6x-7y=-10
Given a = 2^4 * 3^3 * 7 * 13 and b = 2^3 * 3^2 * 5^2 * 11 * 17 (Note ^ is my symbol for exponent) find the greatest common denominator of a and b. Find the least common mult
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