Writing the equation of a parabola given the vertex and a point

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Mathematics
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11th Grade - University
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the role of the vertex (H, K) in a quadratic equation?
It is a point through which the graph passes.
It is used to find the axis of symmetry.
It determines the slope of the line.
It defines the y-intercept of the graph.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When substituting values into the equation, what is the result of squaring a negative number?
The result is zero.
The result depends on the value of the number.
The result is always positive.
The result is always negative.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in simplifying the equation after substituting the values?
Handle the negative signs.
Divide by the variable.
Multiply the coefficients.
Add all the constants together.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you solve for 'a' once the equation is simplified?
Subtract the constant from both sides and divide by the coefficient of 'a'.
Square both sides of the equation.
Multiply both sides by the variable.
Add the constants to both sides.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final form of the equation once 'a' is determined?
y = a(x - H)^2 + K
y = a(x + H)^2 - K
y = a(x - H)^2 - K
y = a(x + H)^2 + K
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