Alg I Quadratic Equation Review

What is the formula for the discriminant?

• @@b^2 - 4ac@@

• @@a^2 + b^2@@

• @@4ac - b^2@@

• @@b^2 + 4ac@@

How do you convert a quadratic equation from standard form to vertex form?

• Complete the square to rewrite the equation in vertex form.

• Factor the equation into two binomials.

• Use the quadratic formula to find the roots.

• Graph the equation and identify the vertex.

What is the maximum or minimum value of a quadratic function?

• The maximum or minimum value occurs at the vertex, given by the y-coordinate of the vertex.

• The maximum or minimum value is always at the x-intercepts of the function.

• The maximum or minimum value is determined by the leading coefficient of the quadratic.

• The maximum or minimum value can be found by evaluating the function at its roots.

Identify the a, b, and c-values of the quadratic equation: @@3x^2 + 2x - 1 = 0@@.

• a = 3, b = 2, c = -1

• a = 1, b = 2, c = -1

• a = 3, b = -2, c = 1

• a = -3, b = 2, c = 1

Solve the quadratic equation: @@x^2 - 5x + 6 = 0@@ by factoring.

• x = {1, 6}

• x = {2, 3}

• x = {3, 4}

• x = {0, 6}

What does the 'a' value in a quadratic equation determine?

• The width of the parabola

• The direction of the parabola (upward if a > 0, downward if a < 0)

• The position of the vertex

• The x-intercepts of the parabola

What is the significance of the discriminant in a quadratic equation?

• It indicates the number of solutions: if > 0, two solutions; if = 0, one solution; if < 0, no solutions.

• It determines the slope of the quadratic function.

• It indicates the maximum value of the quadratic function.

• It shows the symmetry of the quadratic graph.

Solve the equation by factoring: x^2 - 11x + 24 = 0.

• x = {2, 12}

• x = {3, 8}

• x = {4, 6}

• x = {1, 24}

Which value is the vertex of the parabola represented by the equation: y = 2x^2 + 4x + 1?

• (-1, -1)

• (0, 1)

• (1, 2)

• (-2, 3)

How do you find the axis of symmetry for a quadratic equation?

• @@x = -\frac{b}{2a}@@

• @@x = \frac{b}{2a}@@

• @@x = -b + 2a@@

• @@x = \frac{-b}{a}@@