Quadratic Functions: Standard Form — Quiz

Question 1 • Algebra I

The graph of which function has an axis of symmetry at x is equal to 3 ?

Answer

f of x is equal to x squared minus 6 x minus 1 Image with description On a coordinate plane, a parabola opens up. It goes through (0 comma negative 1), has a vertex at (3 comma negative 10), and goes through (6 comma 0).

f of x is equal to x squared minus 3 x minus 3 Image with description On a coordinate plane, a parabola opens up. It goes through (negative 2 comma 7), has a vertex at (1 point 75 comma 5), and goes through (5 comma 7).

f of x is equal to x squared plus 3 x plus 1 Image with description On a coordinate plane, a parabola opens up. It goes through (negative 4 comma 5), has a vertex at (negative 1 point 75 comma 6 point 75), and goes through (1 comma 5).

f of x is equal to x squared plus 6 x plus 3 Image with description On a coordinate plane, a parabola opens up. It goes through (negative 6 comma 3), has a vertex at (negative 3 comma negative 6), and goes through (0 comma 3).

Explanation

For a quadratic function ax² + bx + c, the axis of symmetry is x = −b/(2a). In choice A, a = 1 and b = −6, so the axis is x = −(−6)/(2·1) = 3. Therefore, the function x² − 6x − 1 has the requested axis of symmetry.

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