EM2 - Unit 2 Retake Flashcardizz

Front

Solve by completing the square: x^2 + 4x = 12

Back

x = -6 and 2

Front

Write an equation in Factored Form, whose solutions are -7 and -3.

Back

y = (x + 7)(x + 3)

Front

An object is launched directly upward at 64 ft/s from a platform 80 ft high. What is the maximum height?

Back

144 ft

Front

Write an equation in vertex form.

Back

A

Front

What is the value of h when writing the quadratic function y = x^2 + 10x + 21 in vertex form?

Back

-5

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)^2 + k, where (h, k) is the vertex.

Front

What does completing the square help to find in a quadratic equation?

Back

It helps to find the vertex and maximum or minimum value.

Front

What is the standard form of a quadratic equation?

Back

y = ax^2 + bx + c.

Front

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

Back

x = -b/(2a).

Front

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

Back

It determines the nature of the roots: positive (two real roots), zero (one real root), negative (no real roots).