quadratic functions Algebra homework help
Here is the work if it is unclear: http://www.intervisualtechnology.us/data/1/13252/Unit_2_Quadratic_Functions_Unit_Project.pdf
Complete parts aÂc for each quadratic function.
a. Find the yÂintercept, the equation of the axis of symmetry, and the xÂ-coordinates of the vertex.
b. Make a table of values that includes the vertex.
c. Use the information to graph the function.
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f(x) = Â3×2 + 8x
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f(x)=2×2 +7x+1
Determine whether each function has a maximum or minimum value. State the maximum or minimum value of each function.
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f(x)=x2 +6x+9
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f(x)=Âx2+4x
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Write a quadratic equation with roots Â3 and 4 in standard form.
Solve each quadratic equation using the method of your choice. Find exact solutions.
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Â1.6×2 Â3.2x+18=0
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10×2 +3x=1
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x2 +8xÂ48=0
Simplify the expression.
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(5 Â 2i) Â (8 Â 11i)
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(14 Â 5i)2
Write each equation in vertex form. Then identify the vertex, axis of symmetry, and direction of opening.
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y=x2 +10x+27
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y=Â9×2 +54xÂ8
Graph each inequality.
13. (xÂ5)(x+7)<0 14. Â5×2 +x+2<0
Find the exact solution to the system of equations. Check your answer algebraically.
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y=x2 Â6x+1 y + 2x = 6
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2×2 Â4x=y+1 x+y=1