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Step B consider the function f(x)=-4x^2-12x-3

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Step B consider the function f(x)=-4x^2-12x-3

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a. Determine whether the graph opens upward or downwards
b. Find the axis of symmetry
c. Find the vertex
d. y-intercept
because c=-3, the y-intercept is -3
e. Graph the function

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a. Determine whether the graph opens upward or downward.

b. Find the axis of symmetry
The axis of symmetry is given by x= -b/2a

c. Find the vertex. The vertex lies on the axis of symmetry, so the x-coordinate is 2. The y-coordinate is the value of the function at this x-value, or f(2).
f(2)=(2)^2-4(2)+6=2

d. Find the y-intercept
Because c=6, the y intercept is 6.

e. Graph the function
Graph by sketching the axis of symmetry and then plotting the vertex and the intercept point,(0,6). Use the axis of symmetry to find another point on the parabola.

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Example of how to find the axis of symmetry in a graphing quadratic function in Standard Form

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Of a quadratic function is f(x)=ax^2+bx+c. The coefficients a,b, and c can show properties of the graph of the function.

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Example of how to work out finding the Axis Of Symmetry

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Is the line through the vertex of a parabola that divides that parabola into two congruent halves

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Identify the different parts of quadratics