Axis of Symmetry and Vertex

Down

Will the graph for the quadratic equation f(x) = -2x² + 8x - 3 open up or down?

wide graph

Does f(x) = 0.5|x| have a narrow or wide graph?

narrow graph

Does f(x) = 3|x| have a narrow or wide graph?

2

How many roots (x intercepts) does a quadratic equation that opens down with a vertex of (2, 4) have?

1

How many roots / solutions does a quadratic equation have if the vertex is on the x-axis?

Minimum

If a quadratic equation opens upward, is the vertex a maximum or minimum?

a

In the expression ax² + bx + c, which value determines how the parabola opens?

x

Is the axis of symmetry the x value of the vertex or the y value of the vertex

Minimum

Is the vertex for the quadratic equation x² - 4x + 6 = 0 a max or a min?

Axis of Symmetry

The line that splits a quadratic equation at the point of symmetry is called

x = {-3, -1}

What are the roots ( x intercepts) of the graph shown?

x = 2

What is the axis of symmetry for the quadratic equation x² - 4x + 6 = 0?

x = 0

What is the axis of symmetry for the quadratic equation y = x² + 2?

x = -1

What is the axis of symmetry in the graph shown?

x = -2

What is the axis of symmetry in the graph shown?

Vertex

What is the point at which the parabola begins to change direction?

(2, 2)

What is the vertex for the quadratic equation x² - 4x + 6 = 0?

(0, 2)

What is the vertex for the quadratic equation y = x² + 2?

(-1, -4)

What is the vertex in the graph shown?

(-2, -1)

What is the vertex in the graph shown?

(0, -4)

What is the vertex in the graph shown?

(0, 1)

What is the vertex in the graph shown?