Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the following function.
y equals x squared minus 4 x minus 3
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Part 1
What is the equation of the axis of symmetry?
enter your response here (Type an equation. Simplify your answer.)
To find the equation of the axis of symmetry, we first need to find the x-coordinate of the vertex using the formula x = -b/(2a) in the standard form of a quadratic equation, y = ax^2 + bx + c.
For the given function, y = x^2 - 4x - 3, we have a = 1 and b = -4. Plugging these values into the formula, we get:
x = -(-4)/(2*1) = 4/2 = 2
So, the x-coordinate of the vertex is 2. To find the equation of the axis of symmetry, we simply write x = 2.
Therefore, the equation of the axis of symmetry is x = 2.
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the following function.
y equals x squared minus 4 x minus 3
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Part 1
What is the equation of the axis of symmetry?
x equals 2 (Type an equation. Simplify your answer.)
Part 2
The vertex is
enter your response here. (Type an ordered pair.)
Part 2: The vertex is at the point (2, -7)
To find the y-coordinate of the vertex, we substitute x = 2 into the given function:
y = 2^2 - 4(2) - 3
y = 4 - 8 - 3
y = -7
Therefore, the vertex of the graph is at the point (2, -7).