SOLUTION: Say whether the graph of the equation y=-x^2+4x-1 opens up, down, left, or right.Give the coordinates of the vertex and the equation of the axis of symmetry.Write your quadratic fu

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Question 994539: Say whether the graph of the equation y=-x^2+4x-1 opens up, down, left, or right.Give the coordinates of the vertex and the equation of the axis of symmetry.Write your quadratic function in vertex form. Find the maximum or minimum value. Explain how you can determine this value.

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
Coefficient on leading term is . Parabola is concave down. (Opens downward).

Complete the Square to help change to standard form.

Vertex is (-2,5).

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!

Say whether the graph of the equation y=-x^2+4x-1 opens up, down, left, or right.Give the coordinates of the vertex and the equation of the axis of symmetry.Write your quadratic function in vertex form. Find the maximum or minimum value. Explain how you can determine this value.

----- Completed the square to obtain equation in vertex form
Opens concave down since the coefficient on is < 0
Coordinates of the vertex: ()
Equation of the axis of symmetry:
Maximum value, or y-coordinate of vertex: , or