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

The quadratic formula is $$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$ .

What does the discriminant of a quadratic equation tell you?

The discriminant $$b^2-4ac$$ indicates the nature of the roots: if positive, two real roots; if zero, one real root; if negative, no real roots.

What is the difference between a linear function and a quadratic function?

A linear function has the form $$y=mx+b$$ , while a quadratic function has the form $$y=ax^2+bx+c$$ .

How do you determine if a function is quadratic?

A function is quadratic if its highest degree term is squared (i.e., $$x^2$$ term is present).

What is the axis of symmetry for a quadratic function?

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

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

The leading coefficient determines the direction of the parabola: if positive, it opens upwards; if negative, it opens downwards.

How do you find the x-intercepts of a quadratic function?

The x-intercepts can be found by setting $$y=0$$ and solving the quadratic equation.

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

The roots of the quadratic equation correspond to the x-intercepts of the graph.

STAAR Review 3 Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Back

The value is -254.

2.

FLASHCARD QUESTION

Front

Back

The positive solution is 12.

3.

FLASHCARD QUESTION

Front

Back

The solution is -2.

4.

FLASHCARD QUESTION

Front

Back

The y-intercept is 10.

5.

FLASHCARD QUESTION

Front

Identify the function represented by the graph of a quadratic function that opens upwards and has a vertex at (-2, -4).

Back

6.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

7.

FLASHCARD QUESTION

Front

How do you find the vertex of a quadratic function in standard form?

Back

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