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DO NOW
What is the vertex of this parabola? What is the axis of symmetry? What direction does it open? what is the y-intercept?
What is the vertex of this parabola? What is the axis of symmetry? What direction does it open? what is the y-intercept?
f(x)= -6(x-2)^2 + 3Â
f(x)= -6(x-2)^2 + 3Â
LEARNING TARGET
LEARNING TARGET
I can describe characteristics of parabolas written in standard form:
I can describe characteristics of parabolas written in standard form:
f(x) = ax^2 + bx + c
f(x) = ax^2 + bx + c
I DO
I DO
what is the standard form of a quadratic function?
what is the standard form of a quadratic function?
How do you find characteristics of parabolas in standard form?
How do you find characteristics of parabolas in standard form?
vertex: (-b/2a, f(-b/2a))
vertex: (-b/2a, f(-b/2a))
axis of symmetry: x = -b/2a
direction of opening: If a > 0, opens up. If a < 0, opens down.
max/min: y = f(-b/2a)
y-intercept: y = c
Let's do some examples:
Let's do some examples:
For each parabola, find the vertex, direction of opening, axis of symmetry, min/max value, and y intercept.
For each parabola, find the vertex, direction of opening, axis of symmetry, min/max value, and y intercept.
WE DO
WE DO
YOU DO
YOU DO
EXIT TICKET
EXIT TICKET
What would be the equation of a parabola that was shifted 3 left, 5 up, reflected vertically, and made more narrow by a factor of 3?
What would be the equation of a parabola that was shifted 3 left, 5 up, reflected vertically, and made more narrow by a factor of 3?
Can you write this in standard form?
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