Question: If the parabola y^2 = 20x opens to the right, what is the value of p?
Options:
5
10
20
2
Correct Answer: 5
Solution:
In the equation y^2 = 4px, we have 4p = 20, thus p = 20/4 = 5.
If the parabola y^2 = 20x opens to the right, what is the value of p?
Practice Questions
Q1
If the parabola y^2 = 20x opens to the right, what is the value of p?
5
10
20
2
Questions & Step-by-Step Solutions
If the parabola y^2 = 20x opens to the right, what is the value of p?
Step 1: Identify the standard form of the parabola that opens to the right, which is y^2 = 4px.
Step 2: Compare the given equation y^2 = 20x with the standard form y^2 = 4px.
Step 3: Notice that in the equation y^2 = 20x, the term 20 corresponds to 4p.
Step 4: Set up the equation 4p = 20 to find the value of p.
Step 5: Solve for p by dividing both sides of the equation by 4: p = 20 / 4.
Step 6: Calculate the value: p = 5.
Parabola Properties – Understanding the standard form of a parabola and its parameters, specifically how to identify the value of p from the equation.
Equation Manipulation – Ability to manipulate and solve equations to find unknown variables.
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