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How do i graph in standard form?

First you have to find the intercepts by setting Y and then X equal to zero. then you plot the X and Y intercepts ad graph.

graphing in vertex form is quite easy. all you have to do is!......

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  • find the vertex
  • since its vertex form the vertex will be at the point (H,K)
  • find the Y intercept
  • to find the y intercept let X equal zero and solve for Y
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finding X and Y intercepts are probably the easiest ordeal in math class

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To find X and Y intercepts you have to

plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'.

examples-->

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Solving by factoring!!!

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  • move all terms to one side of the equation, usually the left, using addition or subtraction.
  • Factor the equation completely.
  • Set each factor equal to zero, and solve.
  • List each solution from Step 3 as a solution to the original equation.
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Solving by square roots

  • Subtract 1 from both sides of this equation, you get 4x is equal to negative 1 plus 2, times the square root of 2.
  • This equation, subtract 1 from both sides.
  • 4x is equal to negative 1 minus 2, times the square root of 2.
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Solving by quadratic formula (ax2+bx+c=0)

  • solve for the value of x is to factor the quadratic, set each factor equal to zero
  • then solve each factor.
  • X=-b+_ 2a B^2 - (4(A)(C)) all over 2(A)
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Example of real life quadratic solutions

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  • A ball is thrown straight up, from 3 m above the ground, with a velocity of 14 m/s. When does it hit the ground?

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  • The height starts at 3 m
  • It travels upwards at 14 meters per second (14 m/s)
  • Gravity pulls it down, changing its position by about 5 m per second squared
  • h = 3 + 14t − 5t2
  • 3 + 14t − 5t2 = 0
  • Then solve!!