Introduction to the quadratic formula

Which value of b will cause the quadratic equation x2 + bx + 5 = 0 to have two real number solutions?

-5

What are the values of the coefficients and constant term of 0 = 4 - 7x^2 + x in standard form?

-7, 1, 4

Which values of c will cause the quadratic equation -x2 + 3x + c = 0 to have no real number solutions? Check all that apply.

1, 2

Which equations have a leading coefficient of 3 and a constant term of -2? Check all that apply.

1,3,5

The discriminant of a quadratic equation is the value b2 - 4ac. What is the value of the discriminant of 0 = -2x2 + 6x + 13?

140

Consider the function f(x) = 3x2 + 7x + 2.

25, 2, two real number solutions

Describe how to derive the quadratic formula from a quadratic equation in standard form.

The quadratic formula is derived from a quadratic equation in standard form when solving for x by completing the square. The steps involve creating a perfect square trinomial, isolating the trinomial, and taking the square root of both sides. The variable is then isolated to give the solutions to the equation.

Which graph shows a quadratic function with a discriminant value of 0?

d.