Key Features and Transformations of Quadratics

Define Vertex

• Where the parabola touches or intersects the x-axis

• The highest or lowest point on the graph

• Where parabola line touches or intersects the x- axis, also called the x-intercept

• A line that divides the graph into two equal parts. i.e. cuts the graph in half

What is the "formula" for finding the axis of symmetry?

Which of the following equations matches standard form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

Define X-intercept

• The highest or lowest point on the graph

• Where the parabola touches or intersects the x-axis

• Where the parabola touches or intersects the y-axis

• A line that divides the graph into two equal parts. i.e. cuts the graph in half

Define Axis Of Symmetry

• A line that divides the graph into two equal parts. i.e. cuts the graph in half

• Where the parabola touches or intersects the x-axis, also called the x-intercept

• The highest y-value on the graph

• The highest or lowest point on the graph

When did the ball reach its maximum height? Choose the key feature and the answer.

• y-intercept, 3 secs

• x-value of the vertex, 4 secs

• y-value of the vertex, 5 secs

• y-intercept, 0 secs

What was the maximum height of the ball? Choose the key feature and the answer choice.

• y-intercept, 3 feet

• y-intercept, 0 feet

• x-value of the vertex, 4 feet

• y-value of the vertex, 5 feet

How high was the ball when it was thrown? Choose the key feature and the answer.

• y-intercept, 0 feet

• y-intercept, 3 feet

• x-value of the vertex, 4

• y-value of the vertex 5

When did the water reach its maximum height? Choose the key feature and the answer.

• x-value of vertex, 2 seconds

• y-value of vertex, 9 seconds

• y-intercept, 0 seconds

• x-intercept, 3.8 seconds

What was the maximum height of the water? Choose the key feature and the answer.

• y-intercept, 0 feet

• x-value of the vertex, 2 feet

• y-value of the vertex 10 feet

• x-intercept. 3.85 feet