Opener X Y 25 5 26 10 27 20 29 50 35 A cell phone company's plan rate is shown below. What does the y-intercept represent? Cost (dollars) Usage (minutes)

Opener X Y 25 5 26 10 27 20 29 50 35 A cell phone company's plan rate is shown below. What does the y-intercept represent? This must be the monthly charge since no minutes have been used yet. Cost (dollars) Usage (minutes)

(2x+6)(x+3) 2 𝑥 2 +6𝑥+6𝑥+18 The area of the park is represented by 
the expression 2 𝑥 2 +12𝑥+18 yd2.

2 𝑥 2 +6𝑥+6𝑥+18 (or their answer from #1) + 3 𝑥 2 +11𝑥 −2 5 𝑥 2 +23𝑥+16 yd2

Essential Question Learning Objective What are the key features of quadratic 
functions? Given a graph and table, I will identify 
key features of the quadratic situation and interpret them in context.

ax2+bx+c Key Features of Quadratic Functions you should know: 2 key features of quadratic functions be able to ID them on graph and table interpret them in terms of a context

Key Terms: Intercepts - where a function crosses (intercepts) an axis. For quadratic functions, the x-intercepts are the most important.

Key Terms: Intercepts - where a function crosses (intercepts) an axis. For quadratic functions, the x-intercepts are the most important. x-intercepts

Key Terms: Vertex - the minimum or maximum point of a quadratic function. (the "tip" of the curve)

Key Terms: Vertex - the minimum or maximum point of a quadratic function. (the "tip" of the curve) Vertex

Diving for Food The path a seagull takes as it dives for food can be modeled with a quadratic function. X Y 2 8 4 5 -1 6 Height (feet) Time (seconds)

time (seconds) height (feet)

time (seconds) height (feet)

time (seconds) height (feet)

time (seconds) height (feet)

time (seconds) height (feet)

"Your Turn"

"WE DO" 
TIME

Problem distance (ft) The parabola represents a crater in the Earth's crust. If y = 0 represents the level Earth surface, approximately what is the diameter of the edge of the crater? How deep does the crater reach? height (ft) distance (ft)

Essential Question Learning Objective What are the key features of quadratic 
functions? Given a graph and table, I will identify 
key features of the quadratic situation and interpret them in context.

Closure Which one is incorrect & why? Then give the correct info. #1 The x-intercept is (0,8) #2 The vertex is (6,0) x y -7 -13 -5.1 4 8 -2.1 12.9 1.7 3

Begin Quadratics Task 1 in Projects Tab HW Math II Begin Quadratics Task 1 in Projects Tab

real life situations using parabolas: antennas projectiles cannon balls bouncing balls catapults potato shooters pumpkin tosses kicked balls craters bridge arches

time (seconds) height (feet)

distance (tens of feet) height (feet)