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Example
Linear Equat
Example

y=2x+3
Gradient

y-intercept
Table of Values

x
-1
0
1
2

y

Question 1

y=2x-4

Example $\newline$ Linear Equat $\newline$ Example $\newline$ $y=2 x+3$ $\newline$ Gradient $\newline$ $y$ -intercept $\newline$ Table of Values $\newline$ \begin{tabular}{|l|l|l|l|l|} $\newline$ \hline $x$ & $-1$ & $0$ & $1$ & $2$ \\ $\newline$ \hline $y$ & & & & \\ $\newline$ \hline $\newline$ \end{tabular} $\newline$ Question $1$ $\newline$ $y=2 x-4$

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Domain and range of quadratic functions: equations

Full solution

Q. Example

\newline

Linear Equat

\newline

Example

\newline

y=2 x+3

\newline

Gradient

\newline

y

-intercept

\newline

Table of Values

\newline

\begin{tabular}{|l|l|l|l|l|}

\newline

\hline

x

&

-1

&

0

&

1

&

2

\\

\newline

\hline

y

& & & & \\

\newline

\hline

\newline

\end{tabular}

\newline

Question

1

\newline

y=2 x-4

Find the Gradient: To find the gradient, look at the coefficient of $x$ in the equation $y=2x-4$ . The gradient is $2$ .
Find the Y-Intercept: To find the y-intercept, set $x$ to $0$ and solve for $y$ . $y=2(0)-4$ , so $y=-4$ . The y-intercept is $-4$ .
Fill Table of Values: Now let's fill in the table of values. For $x=-1$ , $y=2(-1)-4$ , $y=-2-4$ , $y=-6$ .
Calculate for $x=-1$ : For $x=0$ , $y=2(0)-4$ , $y=0-4$ , $y=-4$ .
Calculate for $x=0$ : For $x=1$ , $y=2(1)-4$ , $y=2-4$ , $y=-2$ .
Calculate for $x=1$ : For $x=2$ , $y=2(2)-4$ , $y=4-4$ , $y=0$ .

More problems from Domain and range of quadratic functions: equations

Question

Solve by completing the square.

\newline

m^2 - 10m - 29 = 0

\newline

Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

\newline

`m` = ____ or `m` = _____

Posted 2 months ago

Question

g(x)

g(x)

is the translation

5

f(x)=x^2

\newline

Write your answer in the form

a(x–h)^2+k

a

h

k

\newline

g(x)=

Posted 2 months ago

Question

What is the range of this quadratic function?

\newline

y = x^2 - 4x + 4

\newline

\newline

\left\{y \mid y \geq 2\right\}

\newline

\left\{y \mid y \leq 0\right\}

\newline

\left\{y \mid y \geq 0\right\}

\newline

\text{all real numbers}

Posted 2 months ago

Question

Write the equation of the parabola that passes through the points

(1,0)

(2,0)

(3,\text{–}16)

. Write your answer in the form

y = a(x – p)(x – q)

a

p

q

are integers, decimals, or simplified fractions.

\newline

Posted 2 months ago

Question

Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

\newline

f^2 + 8f + \_\_\_\_\_

Posted 2 months ago

Question

h

\newline

h^2 + 39h = 0

\newline

\newline

Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.

\newline

h =

\newline

Posted 2 months ago

Question

Write a quadratic function with zeros

-9

-7

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

\newline

f(x) = \_\_\_\_\_

Posted 2 months ago

Question

Find the equation of the axis of symmetry for the parabola

y = x^2

\newline

Simplify any numbers and write them as proper fractions, improper fractions, or integers.

\newline

\underline{\hspace{3cm}}

Posted 3 months ago

Question

g(x)

g(x)

is the translation

8

f(x) = x^2

\newline

Write your answer in the form

a(x – h)^2 + k

a

h

k

\newline

g(x) =

\newline

Posted 3 months ago

Question

x

\newline

x^2 = 1

\newline

\newline

Write your answer in simplified, rationalized form.

\newline

x =

x =

\newline

Posted 3 months ago