Writing Quadratic Functions

Presentation

•

Mathematics

•

6th - 8th Grade

•

Medium

•

CCSS

6.NS.B.3, HSF-IF.C.7A

Standards-aligned

Alexas Kemp

Used 16+ times

FREE Resource

11 Slides • 19 Questions

Match

Match the following quadratic functions with their vertex.

$x^2+8x-2$

$x^2-2x-3$

$-2x^2-16x+5$

$-3x^2-12x+3$

$4x^2+24x+32$

(-4, -18)

(1, -4)

(-4, 37)

(-2, 15)

(-3, -4)

Labelling

Label the key features of the parabola.

Drag labels to their correct position on the image

Axis of symmetry

y-intercept

Vertex

x-intercepts(roots, zeros or solutions)

Multiple Choice

What is the vertex for
$y=4(x-2)^2+3$

(-2, 3)

(2,-3)

(4,3)

(2,3)

Multiple Choice

What is the vertex of the parabola: $y=2(x-3)^2+4$

(3,4)

(-3,4)

(3, -4)

(-3,-4)

Multiple Choice

Does the parabola
$y=4(x-2)^2+3$
open up or down?

down

Multiple Choice

Identify the vertex and whether the graph opens up or down.

(5, 2); opens up

(5, 2); opens down

(-5, 2); opens up

(-5, 2); opens down

Multiple Choice

What is the equation of this graph?

$y=(x-5)^2+1$

$y=(x-1)^2-5$

$y=(x+1)^2-5$

$y=(x+5)^2+1$

Multiple Choice

Which equation is graphed above?

$y=-\left(x-1\right)^2+4$

$y=\left(x-1\right)^2+4$

$y=-\left(x-4\right)^2+1$

$y=\left(x-4\right)^2+1$

Math Response

What is the equation for the graph? (written in vertex form)

Type answer here

Deg^°

Rad

Math Response

What is the equation for the graph? (written in vertex form)

Type answer here

Deg^°

Rad

Math Response

What is the equation for the graph? (written in vertex form)

Type answer here

Deg^°

Rad

Multiple Choice

What is the quadratic equation of a parabola with a vertex of (-4, 1) and goes through the point (-8, 14)?

$f\left(x\right)=\frac{1}{2}\left(x+4\right)^2+6$

$f\left(x\right)=2\left(x-4\right)^2-1$

$f\left(x\right)=\frac{3}{4}\left(x+6\right)^2+4$

$f\left(x\right)=4\left(x-2\right)^2+6$

Math Response

Use the table to write the quadratic function, in vertex form.

Type answer here

Deg^°

Rad

Multiple Choice

Given the table, determine the equation of the function.

y = 2(x-2) + 4

y = -1(x-2)² + 4

y = 1(x-1)² - 4

y = 2(x-1)² - 4

Multiple Choice

Given the table, determine the equation of the function.

$y=(x+3)^2+8$

$y=-(x+3)^2+8$

$y=(x-3)^2+8$

$y=-(x-3)^2-8$

Multiple Choice

Convert
$y=2(x-2)^2+9$
to standard form.

$y=2x^2+8x+9$

$y=2x^2-8x-4$

$y=2x^2-8x+17$

$y=2x^2-8x+8$

Math Response

Convert the quadratic function $y=2\left(x-3\right)^2+4$ to standard form.

(no spaces and use the letters x & y for the variables)

Type answer here

Deg^°

Rad

Math Response

Convert the quadratic function $y=2\left(x-4\right)^2+3$ to standard form.

(no spaces and use the letters x & y for the variables)

Type answer here

Deg^°

Rad

Math Response

Convert the vertex form function below to standard form.

$y=\frac{1}{2}\left(x-6\right)^2-10$

(No spaces and use x and y for the variables)

Type answer here

Deg^°

Rad

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