What is the significance of the vertex in a quadratic function?

The vertex of a quadratic function represents the maximum or minimum point of the graph, depending on the direction of the parabola.

What is an exponential equation?

An exponential equation is an equation in which a variable appears in the exponent, such as $$2^{(x+3)} = 32$$ .

How do you solve an exponential equation?

To solve an exponential equation, you can rewrite both sides with the same base or use logarithms.

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

For a quadratic equation $$ax^2 + bx + c = 0$$ , the sum of the roots is $$-\frac{b}{a}$$ and the product of the roots is $$\frac{c}{a}$$ .

What is the axis of symmetry in a quadratic function?

The axis of symmetry of a quadratic function $$f(x) = ax^2 + bx + c$$ is given by the line $$x = -\frac{b}{2a}$$ .

How do you determine if a quadratic function opens upwards or downwards?

A quadratic function opens upwards if the coefficient a > 0 and downwards if a

What is the significance of the y-intercept in a quadratic function?

The y-intercept of a quadratic function is the point where the graph intersects the y-axis, given by the value of c in the standard form $$f(x) = ax^2 + bx + c$$ .

How do you find the solutions of a quadratic equation graphically?

The solutions of a quadratic equation can be found graphically by identifying the x-intercepts of the parabola on the graph.

Alg 1 Final Review #1 Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic function?

Back

2.

FLASHCARD QUESTION

Front

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

Back

3.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

4.

FLASHCARD QUESTION

Front

What does the discriminant of a quadratic equation tell us?

Back

5.

FLASHCARD QUESTION

Front

How do you calculate the average rate of change of a function?

Back

6.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

7.

FLASHCARD QUESTION

Front

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

Back

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