# Warm UP Domain All real numbers Range y ≥ -6 Equation y = x² - 6

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Warm UP Domain All real numbers Range y ≥ -6 Equation y = x² - 6
Interval of Increase 0 ≤ x ≤ ∞

Change quadratic functions to standard form
Rewrite (x+1)² Multiply using FOIL Don’t forget your +2 Combine like terms Standard Form

Compare Vertex vs. Standard
Standard form: Vertex form: Lets look at our last problem We converted to a = 1 b = 2 c = 3 a = 1 h = -1 k = 2 Compare values You will learn that you will need to identify the values for a, b, and c. Lets get into the habit of identifying them NOW!!

Lets try this one! Y = -x² -6x -8
Write the quadratic function in standard form. Label the values for a, b, and c. Y=-(x+3)(x+3) + 1 Steps: Write (x+3) twice Multiply using Foil Distribute the negative Add the 1 and combine like terms. Y = -(x² +6x +9) +1 Y= -x² -6x -9 +1 Y = -x² -6x -8

Your Turn Write the quadratic function in standard form. Label the values for a, b, and c. Steps: Write ( ) twice Mulitply using Foil Distribute number out front Combine like terms.

Standard to Vertex a x y Step 1: Find x value
Step 2: Plug x back into equation to get y value Step 3: change the value of your x Vertex: (-2, -4) Step 4: “a” from standard form is the same “a” in vertex form a x y

Intercept Form Change to standard form Y = -2(x-2)(x+3) Steps
1. FOIL out the ( ) Y = -2 (x² +3x -2x -6) 2. Collect like terms Y = -2(x² +1x – 6) 3. Distribute Y = -2x² -2x +12 Make sure equation is in y = ax² +bx + c

CLASSWORK/HOMEWORK page 66 (25-27) Problems on Agenda

Practice Change into Standard form
Y = 2(x-4)² + 5 Form? Vertex (4, 5) FOIL y = 2(x-4)(x-4) y = 2(x² -4x -4x + 16) Collect like terms y = 2(x² -8x + 16) Distribute y = 2x² - 16x + 32

Practice Change into standard form
Y = 2(x-3)(x+4) Form? Intercept x = 3 x=-4 FOIL y = 2(x² +4x -3x -12) Collect like terms y= 2(x² + 1x -12) Distribute y = 2x² + 2x -24

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