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Warmup, Tuesday, March 19, 2024

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Convert to vertex form

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Transformations

The graph of a quadratic equation can change in _________________ and direction of opening, shift ____________________,

____________________,

and ___________________.

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Transformations

The graph of a quadratic equation can change in ____width____ and

direction of opening, shift __horizontally____,

___vertically____,

and ___diagonally____.

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The value of _____ in a quadratic equation

(y = ax2 + bx + c) not only determines which ___________________ a parabola opens, but also the _______________ of a parabola.

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The value of __a__ in a quadratic equation

(y = ax2 + bx + c) not only determines which ____direction___ a parabola opens, but also the ____width____ of a parabola.

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When a is closer to zero, graph is wider.

Wider is fractions and decimals between 0 & 1.

When a is further away from zero, graph is narrower.

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Middle widest narrowest

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Middle widest narrowest

Middle narrowest widest

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up 3 down 2 up 4

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up 3 down 2 up 4

Flips, wider, narrower,

vertex is up 2 vertex is down 3

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Work on Project:

Complete Features

Assemble Product

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Study Guide due tomorrow (Wed)

Test Thursday

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  • Vertex and what it represents: where on your picture is the vertex? Ex: The vertex is where the softball is halfway between Mr. Higdon and Lainey and where the softball is at its maximum height
  • X-intercepts and what they represent: where on your picture are your x-intercepts? Ex: The x-intercepts are where Mr. Higdon releases the ball and where Lainey catches the ball
  • Y-intercept and what it represents: where on your picture is your y-intercept? Ex: The y-intercept is where Mr. Higdon releases the ball.
  • Domain and what it represents: how wide? Ex: The domain is 0 to 40 which is the distance between Mr. Higdon and Lainey.
  • Range and what it represents: how tall? Ex: The range is 0 to 20 which is the distance between the height when the softball is released and the max height the softball reaches.