SOLUTION: my book says to "write the equation of the axis of symmetry, and find the coordinates of the vertex of the graph of each function. identify the vertex as a maaximum or minimum. the

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: my book says to "write the equation of the axis of symmetry, and find the coordinates of the vertex of the graph of each function. identify the vertex as a maaximum or minimum. the      Log On


   

Question 131615: my book says to "write the equation of the axis of symmetry, and find the coordinates of the vertex of the graph of each function. identify the vertex as a maaximum or minimum. then graph the function" then it says
y=4x^2
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
my book says to "write the equation of the axis of symmetry, and find the coordinates of the vertex of the graph of each function. identify the vertex as a maaximum or minimum. then graph the function" then it says
y=4x^2
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There are many ways to find the axis symmetry.
Your equation can be written as y = 4x^2+0x+0
a = 4, b= 0, c= 0
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The axis of symmetry occurs where x = -b/2a = -0/8 = 0
The corresponding y-value is y = 4(0)^2 = 0
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So, the axis is x = 0 (this is the y-axis)
The vertex is (0,0)
The parabola opens upward because 4 is positive.
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what does it look like?
graph%28400%2C300%2C-10%2C10%2C-10%2C30%2C4x%5E2%29
Cheers,
Stan H.