How do you convert from standard form to vertex form of a quadratic

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Mathematics
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11th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is one advantage of converting a quadratic equation from standard form to vertex form?
It eliminates the need for graphing.
It reduces the degree of the polynomial.
It simplifies finding the vertex of the parabola.
It makes the equation easier to factor.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in the process of completing the square?
Ensure the leading coefficient is zero.
Factor out the constant term.
Ensure the leading coefficient is one.
Add a constant to both sides of the equation.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine the value to add to create a perfect square trinomial?
Add the linear and constant terms together.
Multiply the quadratic coefficient by two and square it.
Divide the linear coefficient by two and square it.
Divide the constant term by two and square it.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to adjust the equation when adding a value inside the parentheses?
To maintain the balance of the equation.
To simplify the equation.
To eliminate the quadratic term.
To ensure the equation is in standard form.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of factoring a perfect square trinomial?
A quadratic equation in standard form.
A constant term.
A binomial squared.
A linear equation.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example, what is the final vertex form of the equation y = 5 * (x + 1)^2 - 4?
y = 5 * (x + 1)^2 - 4
y = 5 * (x + 1)^2 + 4
y = 5 * (x - 1)^2 + 4
y = 5 * (x - 1)^2 - 4
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What operation is performed after factoring the perfect square trinomial to finalize the vertex form?
Multiplying the entire equation by a constant.
Combining like terms outside the parentheses.
Adding a constant to both sides.
Subtracting a constant from both sides.
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