What is the axis of symmetry in a quadratic function?

The axis of symmetry is the vertical line $$x = -\frac{b}{2a}$$ .

How do you find the maximum or minimum value of a quadratic function?

The maximum or minimum value occurs at the vertex, calculated using $$k = a(h)^2 + k$$ .

What is the relationship between the coefficients and the roots of a quadratic equation?

The sum of the roots is $$-\frac{b}{a}$$ and the product of the roots is $$\frac{c}{a}$$ .

What is factoring in the context of quadratic equations?

Factoring involves rewriting the quadratic equation as a product of two binomials.

What is the significance of the leading coefficient in a quadratic equation?

The leading coefficient (a) determines the direction of the parabola: if a > 0, it opens upwards; if a

How do you convert a quadratic equation from standard form to vertex form?

You complete the square to rewrite the equation in vertex form.

What is the importance of the area in solving real-world problems involving quadratics?

The area can help set up equations that model real-world situations, such as dimensions of shapes.

What is the process of using the quadratic formula to solve for x?

Identify a, b, and c from the equation, plug them into the formula, and simplify to find the values of x.

Unit 4B Final Exam Review Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

What is the quadratic formula used to find the roots of a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

Back

The first step is to subtract 3 from both sides to set the equation to zero.

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

How do you solve under the square root in the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

If Sandy's garden is 2 feet longer than it is wide and has an area of 48 square feet, how do you express the length and width?

Back

6.

FLASHCARD QUESTION

Front

What does the discriminant tell you about the roots of a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic equation?

Back

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