Wordle
Every quadratic equation has a U-shaped graph called this.
What is parabola?
Name the x-intercepts. y=2(x-2)(x+6)
What is (2,0) and (-6,0)?
Name the vertex y= (x-3)2 +4
What is (3,4)?
Graph the equation and list the vertex. Must include vertex, and at least two points on each side. y = (x-6)2 +1
What is graph on board? What is Vertex at (6,1)?
A ball is fired into the air from the top of a roof. Its height above the ground (in yards) after t (in seconds) can be modeled by three quadratic equations in Standard, Factored, and Vertex forms.
Draw a picture to represent this situation, including the height of the ball over time.
Picture perfect!
Name the x-intercepts y= x(x-2)
What is (0,0) and (2,0)?
Name the vertex:
y= (x+1)2 - 8
What is (-1, -8)?
Graph the equation and list the vertex. Must include vertex, and at least two points on each side. y = (x+5)2 -3
What is graph on board? What is (-5, -3)?
A ball is fired into the air from the top of a roof. Its height above the ground (in yards) after t (in seconds) can be modeled by three quadratic equations in Standard, Factored, and Vertex forms.
Without making any changes to the equations, which form(s) would be useful in determining how many seconds it takes for the ball to hit the ground? Explain your answer.
What is factored form?
The positive x-intercept is the time it takes for the ball to hit the ground. This is most easily found from factored form.
When a quadratic equation is written in this form y = ax2 +bx + c
What is the standard form?
Name the x-intercepts. y = x2 - 4
What is (-2,0) and (2,0)?
Name the vertex: y=2(x - 5)2 +17
What is (5,17)?
Graph the equation. Must include vertex, and at least two points on each side. y = -(x-4)2 +4
What is graph on board
A ball is fired into the air from the top of a roof. Its height above the ground (in yards) after t (in seconds) can be modeled by three quadratic equations in Standard, Factored, and Vertex forms.
Without making any changes to the equations, which form(s) would be useful in determining the maximum height of the ball? Explain your answer.
What is vertex form?
The y-value of the vertex is the height of the ball at its maximum point.
This is the form of a quadratic that most easily gives the x-intercepts.
What is factored form? (Standard form factored)
Name the x-intercepts y=x2 - x - 2
What is (-1,0) and (2,0)?
Name the vertex: y = x2 - 4x - 5
What is (2,-9)?
Graph the equation. Must include vertex, and at least two points on each side. y = x2 + 4x - 5
What is graph on board. Vertex at (-2,-9), intercepts at x=-5,1
A ball is fired into the air from the top of a building roof. Its height above the ground (in yards) after t (in seconds) can be modeled by three quadratic equations in Standard, Factored, and Vertex forms.
Without making any changes to the equations, which form(s) would be useful in determining the height of the building? Explain your answer.
What is Standard form?
The c-value in standard form is the y-intercept, which is the starting height of the ball! Since the ball is launched from the roof, this is the height of the building.
The line that runs through the vertex and divides the parabola in half.
What is axis of symmetry?
Name the x-intercepts. y= x2+5x + 6
What are (-2,0) and (-3,0)?
Name the vertex: y = 2x^2 + 4x - 6?
What is (-1,-8)?
Graph the equation. Must include vertex, and at least two points on each side. y = 3x2 - 6x - 5
What is graph on board: Vertex is (1,-8)
A ball is fired into the air from the top of a roof. Its height above the ground (in yards) after t (in seconds) can be modeled by three quadratic equations in Standard, Factored, and Vertex forms.
Without making any changes to the equations, which form(s) would be useful in determining how many seconds it would take for the ball to reach the maximum height? Explain your answer.
What is vertex form?
The x-value of the vertex is the time it takes for the ball to reach the highest point.