★ Must-know
In standard form, , the leading coefficient a determines the parabola’s opening direction and shape, while c gives its y-intercept.
In vertex form, , the vertex is (h, k), and a gives information about opening direction and shape.
In factored form, the values that make the factors zero are the zeros or x-intercepts of the quadratic.
Further detail
📐 Formula - The axis of symmetry of is .
Standard form reveals the y-intercept; vertex form displays the vertex.
★ Must-know
Further detail
1. For a quadratic in standard form, , which statement correctly describes the roles of and ?
2. A quadratic is written as . What is its vertex?
3. A quadratic is expressed as . What do the values that make either factor zero represent on its graph?
In standard form, what determines a parabola’s opening direction and shape?
The leading coefficient .
In standard form, what does give?
The y-intercept.
In vertex form, what are the coordinates of the vertex?
.
In vertex form, what does indicate about the parabola?
Its opening direction and shape.
In factored form, what are the values that make the factors zero called?
The zeros or x-intercepts of the quadratic.
How do you begin expanding a squared binomial?
Write it as two identical factors.
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