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Algebra - Quadratic Equations - Practicie Problems

1. Add
(2v^4-4v^3+2v^2+10v-6)+ (v^5+9v^3+5v^2-2v+4) + (-5v^4+v^2-6v-10)
2. Find the vertex, the line of symmetry, the maximum or minimum value of the quadric function, and graph the function.
f(x)=1/2(x+5)^2+8
-The vertex is____
-The line of symmetry is x=____
-What is the maximum/ minimum value of f(x)?___
-Is the value, f(-5)=8, a minimum or a maximum?___
-Graph ...

[Please the attached questions file.]

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Solution Preview

The solution file is attached.

1. Add
(2v^4-4v^3+2v^2+10v-6)+ (v^5+9v^3+5v^2-2v+4) + (-5v^4+v^2-6v-10)

Given expression = v^5 - 3v^4 + 9v^3 + 8v^2 + 2v - 12

2. Find the vertex, the line of symmetry, the maximum or minimum value of the quadric function, and graph the function.
f(x)=1/2(x+5)^2+8
-The vertex is____
-The line of symmetry is x=____
-What is the maximum/ minimum value of f(x)?___
-Is the value, f(-5)=8, a minimum or a maximum?___
-Graph

The vertex is at (-5, 8)
The line of symmetry is x = -5
f(x) has a minimum value of 8
The value ...

Solution Summary

The quadratic equations in algebra are examined. Neat and step-by-step solutions are provided. Graphs are provided.

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