5-3Transforming Parabolas

(Part 2)Big Idea: --Demonstrate and explain what changing a coefficient has on the graph of quadratic functions.

Vertex and y-intercept of Parabolas

Vertex(1, 2)

y-intercept(0, 5)

y-axis

x-axis

Ex 1: Identify the vertex and the y-intercept of the graph of each function. A) y = 2.4(x + 10)² B) y =(x – 200)²

+ 1

C) y = 0.5(x + 5)² - 120

Vertex Form: y = a(x – h)² + kStandard Form: y = ax2 + bx +c 1. Find the h-value of the vertex by using x =

2. Plug your x-value (h) into quadratic function (original) and find k-value. (vertex (h, k))

3. Find your a-value from y = ax² + bx + c

4. Substitute a, h, and k into vertex form.

a

b

2

Ex 2: Write each function in vertex form. A) y = 2x² + 10x + 7

B) y = -3x² + 12x +5

C) y = -3x² + 12x -1

Essential Question: How does the second point of graph effect the parabola? Hint: (vertical stretch, vertical shrink, reflection)