How do you identify a, b, and c in the quadratic equation $$ax^2 + bx + c = 0$$ ?

In the equation $$ax^2 + bx + c = 0$$ , 'a' is the coefficient of $$x^2$$ , 'b' is the coefficient of $$x$$ , and 'c' is the constant term.

Solve using the Quadratic Formula: $$2x^2 - 9x + 5 = 0$$

The solutions are $$x = 3.9$$ and $$x = 0.6$$ .

Solve using the Quadratic Formula: $$9u^2 - 11u + 7 = 0$$

The solutions are $$u = \frac{11 \\pm \text{sqrt}(131)}{18}$$ .

What is the axis of symmetry in a quadratic function?

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

How do you convert a quadratic equation to standard form?

To convert a quadratic equation to standard form, rearrange it to the form $$ax^2 + bx + c = 0$$ , ensuring that all terms are on one side of the equation.

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

The leading coefficient 'a' in the quadratic equation $$ax^2 + bx + c = 0$$ determines the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

What does it mean for a quadratic equation to have no real solutions?

A quadratic equation has no real solutions when the discriminant $$D = b^2 - 4ac$$ is less than zero (D

How do you find the y-intercept of a quadratic function?

The y-intercept of a quadratic function $$y = ax^2 + bx + c$$ is found by evaluating the function at $$x = 0$$ , which gives $$y = c$$ .

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

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

What is the standard form of a quadratic function?

The standard form of a quadratic function is $$y = a(x - h)^2 + k$$ , where (h, k) is the vertex of the parabola.

How can you check your solutions after using the Quadratic Formula?

To check your solutions, substitute the values back into the original quadratic equation to verify that both sides of the equation are equal.

Solve using the Quadratic Formula

Flashcard

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Mathematics

•

8th - 9th Grade

•

Practice Problem

•

Easy

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CCSS

HSA-REI.B.4B, HSF-IF.C.7A

Standards-aligned

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FLASHCARD QUESTION

Front

What is the Quadratic Formula?

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

What does the discriminant tell us in a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

FLASHCARD QUESTION

Front

What is the vertex of a parabola?

Back

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