Graphing Quadratics in Vertex Form

Front

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

Back

Multiply the x² by a negative number.

Front

What effect does the 5 have in f(x)=5(x+3)²-10 compared to the parent function?

Back

Vertical Stretch.

Front

What is the equation for the new quadratic function if it is horizontally shifted right 1 unit from f(x)=x²+4?

Back

g(x)=(x-1)²+4.

Front

What is the vertex of the parabola for the equation y = 3(x + 5)² - 4?

Back

(-5, -4).

Front

What is the vertex form of a quadratic function?

Back

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

Front

What does the 'a' value in vertex form indicate about the parabola?

Back

It indicates the direction of opening and the width of the parabola.

Front

How does a negative 'a' value affect the graph of a quadratic function?

Back

It causes the parabola to open downward.

Front

What is the effect of a value greater than 1 for 'a' in vertex form?

Back

It results in a vertical stretch of the parabola.

Front

What is the effect of a value between 0 and 1 for 'a' in vertex form?

Back

It results in a vertical compression of the parabola.

Front

How do you find the x-coordinate of the vertex in the vertex form y = a(x - h)² + k?

Back

The x-coordinate is h.