Algebra Unit 4 study guide

Front

What transformation occurs when changing f(x) = x² to g(x) = -3x²?

Back

Reflection in the x-axis and vertical stretch.

Front

Factor the expression: x² + 24x + 144

Back

(x + 12)²

Front

Complete the square for x² - 14x + ____. What is the missing value?

Back

49

Front

What is the name of the form: y = ax² + bx + c?

Back

Standard form.

Front

If red represents y = x², which equation represents blue? y = ?

Back

y = -x².

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 it mean to complete the square?

Back

To rewrite a quadratic in the form (x - p)² = q.

Front

What is the axis of symmetry for the parabola y = ax² + bx + c?

Back

x = -b/(2a).

Front

What is a vertical stretch in a quadratic function?

Back

When the value of 'a' in y = ax² is greater than 1.

Front

What is a reflection in the x-axis?

Back

When the graph of a function is flipped over the x-axis.