Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the discriminant of the quadratic equation
x^(2)-6x-8=0 ?
4

-4

-68
68

What is the discriminant of the quadratic equation $x^{2}-6 x-8=0$ ? $\newline$ $4$ $\newline$ $-4$ $\newline$ $-68$ $\newline$ $68$

View step-by-step help

View step-by-step help

Transformations of functions

Full solution

Q. What is the discriminant of the quadratic equation

x^{2}-6 x-8=0

?

\newline

4

\newline

-4

\newline

-68

\newline

68

Identify Coefficients: The discriminant of a quadratic equation in the form $ax^2 + bx + c = 0$ is given by the formula $D = b^2 - 4ac$ . We need to identify the coefficients $a$ , $b$ , and $c$ from the given equation and then calculate the discriminant.
Given Quadratic Equation: The given quadratic equation is $x^2 - 6x - 8 = 0$ . Here, the coefficient $a$ is $1$ (since $x^2$ is the same as $1x^2$ ), the coefficient $b$ is $-6$ , and the coefficient $c$ is $-8$ .
Calculate Discriminant: Now we will calculate the discriminant using the coefficients $a = 1$ , $b = -6$ , and $c = -8$ . Substitute these values into the discriminant formula $D = b^2 - 4ac$ . $\newline$ $D = (-6)^2 - 4(1)(-8)$
Final Calculation: Calculate the discriminant: $\newline$ $D = 36 - 4(-8)$ $\newline$ $D = 36 + 32$ $\newline$ $D = 68$

More problems from Transformations of functions

Question

g(x)

g(x)

is the reflection across the x-axis of

f(x)=9|x+2|-4

\newline

\newline

\text{}(A)g(x) = 9|x+2| - 4\text{]}

\newline

\text{}(B)g(x) = 9|x-2| - 4\text{]}

\newline

\text{}(C)g(x)=-9|x-2| +4\text{]}

\newline

\text{(D)}g(x) = -9|x + 2| + 4\text{]}

Posted 9 months ago

Question

What does the transformation

f(x) \mapsto f(x - 4)

do to the graph of

f(x)

\newline

\newline

\text{translates it } 4 \text{ units right}

\newline

\text{translates it } 4 \text{ units down}

\newline

\text{translates it } 4 \text{ units left}

\newline

\text{translates it } 4 \text{ units up}

Posted 9 months ago

Question

What does the transformation

f(x) \mapsto f(4x)

do to the graph of

f(x)

\newline

\newline

[A] stretches it vertically

\newline

[B] stretches it horizontally

\newline

[C]shrinks it horizontally

\newline

[D]shrinks it vertically

Posted 8 months ago

Question

g(x)

g(x)

is the translation

9

f(x) = 10x + 8

\newline

\newline

g(x) = 10x - 82

\newline

g(x) = 10x + 98

\newline

g(x) = 10x - 1

\newline

g(x) = 10x + 17

Posted 9 months ago

Question

What kind of transformation converts the graph of

f(x) = -3x^2 - 4

into the graph of

g(x) = -3x^2 + 6

\newline

\newline

\text{[A]translation 10 units up}

\newline

\text{[B]translation 10 units down}

\newline

\text{[C]translation 10 units left}

\newline

\text{[D]translation 10 units right}

Posted 8 months ago

Question

y=x^{2}

is scaled vertically by a factor of

7

. What is the equation of the new parabola?

\newline

y=

Posted 10 months ago

Question

y=x^{2}

is shifted down by

6

units and to the right by

5

\newline

What is the equation of the new parabola?

\newline

y=

Posted 10 months ago

Question

y=x^{2}

is shifted up by

2

units and to the right by

3

\newline

What is the equation of the new parabola?

\newline

y=

Posted 8 months ago

Question

y=x^{2}

is reflected across the

x

-axis and then scaled vertically by a factor of

5

\newline

What is the equation of the new parabola?

\newline

y=\square

Posted 8 months ago

Question

y=x^{2}

is scaled vertically by a factor of

\frac{1}{10}

\newline

What is the equation of the new parabola?

\newline

y=

Posted 9 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant