Graphing Quadratics (Standard, Vertex, Intercept Forms)

Front

What causes the graph of y = x² to open downward?

Back

Multiply the x² by a negative number.

Front

Given: y = 2(x - 5) + 6, what is the vertex?

Back

(5, 6)

Front

What is the vertex of the parabola y = 1/2(x + 4)² - 3?

Back

(-4, -3)

Front

Identify A, B, and C in the equation y = 3x² - 8 + 5x.

Back

A=3, B=5, C=-8

Front

Identify the vertex and direction of the graph for (-5, 2).

Back

(-5, 2); opens up

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c, where a, b, and c are constants.

Front

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

Back

It determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola.

Front

How do you find the vertex from the vertex form of a quadratic equation?

Back

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

Front

What is the intercept form of a quadratic equation?

Back

y = a(x - p)(x - q), where p and q are the x-intercepts.

Front

How do you convert from standard form to vertex form?

Back

Use completing the square method.