Question 25938: Please help me find the vertex and intercepts for this quadratic function, and sketch its graph.
y = -3x^2 + 6x Found 2 solutions by venugopalramana, Earlsdon:Answer by venugopalramana(3286) (Show Source):
You can put this solution on YOUR website! PLEASE SEE THE FOLLOWING EXAMPLE AND DO ACCORDINGLY.IF YOU STILL HAVE DIFFICULTY COME BACK AND WE WILL HELP YOU.
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Please help me find the vertex and intercepts for this quadratic function, and help me to sketch its graph.
y = x^2 - 6x
Y=(X-3)^2-9...THIS HAS VERTEX AT X=3 AND ITS VALUE IS
Y=(3-3)^2-9=-9
GRAPH IS OBTAINED BY GIVING DIFFERENT VALUES TO X AND INDING THE CORRESPONDING VALUES OF Y AND PLOTTING THEM TO A SUITABLE SCALE
X=........0........1.........2...........3..........ETC.....
Y=X^2-6X..0........-5........-8..........-9.........ETC....
THE GRAPH WILL LOOK LIKE THIS
You can put this solution on YOUR website! Find the vertex and the x-intercepts of: The quadratic equation is in standard form: where: a = -3, b = 6, and c = 0
The x-coordinate of the vertex is given by:
The y-coordinate of the vertex is found by substituting the x = 1 into the original equation and solving for y.
The vertex is at (1, 3)
The x-intercepts are found by setting y = 0 in the original equation and solving for the x-values.
Factor an x Apply the zero products principle. and/or
One of the x-intercepts is x = 0
The other one is found from: Subtract 6 from both sides. Divide both sides by -3.
The x-intercepts are:
x = 0 and x = 2
Here's the graph of the parabola:
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