Question: What is the axis of symmetry for the parabola given by the equation y = -3(x - 2)^2 + 5?
Options:
x = 2
y = 5
y = -3
x = -2
Correct Answer: x = 2
Solution:
The axis of symmetry for a parabola in vertex form y = a(x - h)^2 + k is x = h. Here, h = 2.
What is the axis of symmetry for the parabola given by the equation y = -3(x - 2
Practice Questions
Q1
What is the axis of symmetry for the parabola given by the equation y = -3(x - 2)^2 + 5?
x = 2
y = 5
y = -3
x = -2
Questions & Step-by-Step Solutions
What is the axis of symmetry for the parabola given by the equation y = -3(x - 2)^2 + 5?
Step 1: Identify the equation of the parabola, which is y = -3(x - 2)^2 + 5.
Step 2: Recognize that this equation is in vertex form, which is y = a(x - h)^2 + k.
Step 3: In the vertex form, 'h' represents the x-coordinate of the vertex and also the axis of symmetry.
Step 4: From the equation, identify 'h' as the value inside the parentheses, which is 2.
Step 5: Write the axis of symmetry using the value of 'h'. The axis of symmetry is x = h.
Step 6: Therefore, the axis of symmetry is x = 2.
Vertex Form of a Parabola – The equation of a parabola in vertex form is y = a(x - h)^2 + k, where (h, k) is the vertex and x = h is the axis of symmetry.
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