HPC 1-1 Preview Day 2 Notes

Presentation

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Mathematics, Other

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10th - 12th Grade

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Medium

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CCSS

HSA.REI.B.4, HSF-IF.C.7C, HSA.SSE.A.2

Standards-aligned

Phara Cherdsuriya

Used 3+ times

FREE Resource

2 Slides • 8 Questions

HPC 1-1 Preview Day 2 Notes

Review quadratic functions and factoring

Quadratic Function

Standard form: $y=ax^2+bx\ +c$
$Vertex\ \left(-\frac{b}{2a},\ output\right),\ Axis\ of\ symmetry:\ x\ =\ -\frac{b}{2a}$
Vertex form: $y=a\left(x-h\right)^2+k$ ; Vertex (h, k), Axis of symmetry: x = h
Quadratic formula: $x=\frac{\left(-b\pm\sqrt{b^2-4ac}\right)}{\left(2a\right)}$
Completing the square: $x^2+bx+\left(\frac{b}{2}\right)^2$
When a is +, it is concave up or opens up.
When a is negative, it is concave down or opens down.

Multiple Choice

Solve by factoring.

2x² - 9x - 35 = 0

x = 7/2, x = -6

x = -5/2, x =5

x = -3/7, x =6

x = -5/2, x = 7

Multiple Choice

Find the vertex of

f(x) = -x²- 4x + 12

(-2, 16)

(2, 0)

(2, 4)

(-2, 4)

Multiple Choice

What is the axis of symmetry for the following equation?
y=4x²-8x+9

x=-8

x=1

x=-1

x=2

Multiple Choice

What are the
x-intercepts of the function
f(x)= (x - 2)(x + 3)?

x = - 2 or x = 3

x = 2 or x = -3

The are no real roots

x = 2 or x = 3

Multiple Choice

Convert the equation into standard form:

y = -5(x + 2)²- 10

y = -5x²- 20x - 30

y = -5x²- 4x - 10

y = 25x² + 100x + 90

y = 25x² - 10x - 30

Multiple Choice

Convert the equation

f(x) = x²- 12x + 40

into vertex form

f(x) = (x + 6)²- 4

f(x) = (x + 6)²+ 4

f(x) = (x - 6)²- 4

f(x) = (x - 6)²+ 4

Multiple Choice

Use the quadratic formula to find the solutions for
y = 2x² - 9x + 5

-8.14 and -6.14

4.07 and 3.07

3.85 and 0.65

ZERO solutions

Open Ended

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HPC 1-1 Preview Day 2 Notes

Review quadratic functions and factoring

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