Solve by graphing quadratics
Flashcard
•
Mathematics
•
10th Grade
•
Hard
+1
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is y = ax² + bx + c, where a, b, and c are constants.
2.
FLASHCARD QUESTION
Front
What are the x-intercepts of a quadratic function?
Back
The x-intercepts are the points where the graph of the quadratic function crosses the x-axis, found by setting y = 0.
Tags
CCSS.HSF-IF.C.7A
3.
FLASHCARD QUESTION
Front
How do you find the x-intercepts of the equation 2(x + 5)(x + 1) = 0?
Back
Set each factor to zero: x + 5 = 0 (x = -5) and x + 1 = 0 (x = -1). The x-intercepts are x = -5 and x = -1.
Tags
CCSS.HSF-IF.C.7C
4.
FLASHCARD QUESTION
Front
What does it mean if a quadratic graph has a minimum?
Back
A minimum means the vertex of the parabola is the lowest point on the graph, indicating the function opens upwards.
Tags
CCSS.HSF-IF.C.7A
5.
FLASHCARD QUESTION
Front
How do you solve the equation (x - 5)(x - 1) = 0 for x?
Back
Set each factor to zero: x - 5 = 0 (x = 5) and x - 1 = 0 (x = 1). The solutions are x = 5 and x = 1.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
What is the vertex form of a quadratic equation?
Back
The vertex form is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.
7.
FLASHCARD QUESTION
Front
What is the axis of symmetry in a quadratic function?
Back
The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by x = -b/(2a).
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